400 ejercicios sobre Series Matemáticas resueltas paso por paso con todos los procedimientos.

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Series
Hallar el resultado de la suma de las siguientes series:
1). −74i =∑
i=1
94
2). 51i =∑
i=1
56
3). 86i =∑
i=1
80
4). −44i =∑
i=1
71
5). −58i =∑
i=1
63
6). −23i =∑
i=1
65
7). 81i =∑
i=1
96
8). 27i =∑
i=1
50
9). 97i =∑
i=1
56
10). −35i =∑
i=1
81
11). 23i =∑
i=1
68
12). −17i =∑
i=1
78
13). 70i =∑
i=1
60
14). 23i =∑
i=1
73
15). 4i =∑
i=1
54
16). −34i =∑
i=1
57
17). −64i =∑
i=1
58
18). −12i =∑
i=1
78
19). 96i =∑
i=1
68
20). 79i =∑
i=1
79
21). 59i =∑
i=1
53
22). 29i =∑
i=1
97
23). −2i =∑
i=1
99
24). 10i =∑
i=1
93
25). −44i =∑
i=1
97
26). 92i =∑
i=1
91
27). 81i =∑
i=1
78
28). 45i =∑
i=1
76
29). 4i =∑
i=1
65
30). −75i =∑
i=1
95
31). −11i =∑
i=1
99
32). −i =∑
i=1
68
33). −31i =∑
i=1
100
34). −76i =∑
i=1
54
35). −15i =∑
i=1
89
36). 85i =∑
i=1
68
37). 91i =∑
i=1
70
38). −58i =∑
i=1
67
39). −61i =∑
i=1
63
40). −7i =∑
i=1
67
41). −21i =∑
i=1
85
42). 25i =∑
i=1
91
43). 38i =∑
i=1
84
44). −70i =∑
i=1
88
45). −12i =∑
i=1
56
46). 58i =∑
i=1
89
47). −81i =∑
i=1
77
48). −83i =∑
i=1
63
49). 82i =∑
i=1
84
50). −12i =∑
i=1
101
51). −12i =∑
i=1
56
52). −67i =∑
i=1
61
53). −27i =∑
i=1
69
54). −84i =∑
i=1
77
55). −75i =∑
i=1
53
56). −26i =∑
i=1
67
57). −52i =∑
i=1
73
58). −25i =∑
i=1
65
59). −9i =∑
i=1
82
60). −87i =∑
i=1
77
61). 35i =∑
i=1
85
62). −7i =∑
i=1
78
63). −2i =∑
i=1
64
64). −4i =∑
i=1
99
65). 83i =∑
i=1
61
66). 13i =∑
i=1
96
67). 10i =∑
i=1
101
68). 7i =∑
i=1
84
69). −26i =∑
i=1
55
70). 85i =∑
i=1
63
71). −63i =∑
i=1
72
72). −69i =∑
i=1
100
73). 53i =∑
i=1
74
74). −23i =∑
i=1
76
75). 81i =∑
i=1
100
76). 70i =∑
i=1
95
77). −59i =∑
i=1
53
78). −88i =∑
i=1
82
79). −93i =∑
i=1
94
80). −24i =∑
i=1
92
81). −82i =∑
i=1
74
82). −50i =∑
i=1
65
83). −8i =∑
i=1
60
84). 69i =∑
i=1
58
85). −53i =∑
i=1
101
86). 18i =∑
i=1
96
87). 22i =∑
i=1
97
88). −24i =∑
i=1
60
89). 56i =∑
i=1
58
90). −61i =∑
i=1
82
91). −i =∑
i=1
74
92). −68i =∑
i=1
96
93). −83i =∑
i=1
77
94). −12i =∑
i=1
64
95). 70i =∑
i=1
92
96). −7i =∑
i=1
88
97). 85i =∑
i=1
62
98). −25i =∑
i=1
51
99). 41i =∑
i=1
94
100). 35i =∑
i=1
69
101). −30i =∑
i=1
98
102). −96i =∑
i=1
65
103). −86i =∑
i=1
98
104). 6i =∑
i=1
63
105). 71i =∑
i=1
98
106). 28i =∑
i=1
70
107). 26i =∑
i=1
52
108). 54i =∑
i=1
66
109). 30i =∑
i=1
87
110). −73i =∑
i=1
80
111). 13i =∑
i=1
97
112). 95i =∑
i=1
100
113). 67i =∑
i=1
87
114). −95i =∑
i=1
96
115). −100i =∑
i=1
83
116). 90i =∑
i=1
65
117). −53i =∑
i=1
74
118). 91i =∑
i=1
83
119). 3i =∑
i=1
90
120). −36i =∑
i=1
54
121). 38i =∑
i=1
101
122). −73i =∑
i=1
53
123). −51i =∑
i=1
100
124). −50i =∑
i=1
59
125). 89i =∑
i=1
60
126). −74i =∑
i=1
65
127). −6i =∑
i=1
77
128). 29i =∑
i=1
50
129). −34i =∑
i=1
66
130). −38i =∑
i=1
85
131). 47i =∑
i=1
53
132). 52i =∑
i=1
98
133). −84i =∑
i=1
81
134). 4i =∑
i=1
52
135). −17i =∑
i=1
72
136). 31i =∑
i=1
99
137). −37i =∑
i=1
95
138). 22i =∑
i=1
97
139). 32i =∑
i=1
51
140). −3i =∑
i=1
97
141). −31i =∑
i=1
62
142). 2i =∑
i=1
63
143). 15i =∑
i=1
84
144). 4i =∑
i=1
86
145). −25i =∑
i=1
97
146). −73i =∑
i=1
61
147). 26i =∑
i=1
85
148). −70i =∑
i=1
64
149). 53i =∑
i=1
86
150). −32i =∑
i=1
70
151). 99i =∑
i=1
71
152). 32i =∑
i=1
51
153). 14i =∑
i=1
51
154). 2i =∑
i=1
65
155). 71i =∑
i=1
99
156). −43i =∑
i=1
81
157). −90i =∑
i=1
71
158). 84i =∑
i=1
50
159). 93i =∑
i=1
74
160). −68i =∑
i=1
77
161). 90i =∑
i=1
100
162). −95i =∑
i=1
97
163). 45i =∑
i=1
95
164). 3i =∑
i=1
88
165). 84i =∑
i=1
96
166). 95i =∑
i=1
73
167). −74i =∑
i=1
66
168). −70i =∑
i=1
78
169). −31i =∑
i=1
52
170). 38i =∑
i=1
100
171). 83i =∑
i=1
78
172). 88i =∑
i=1
75
173). −65i =∑
i=1
60
174). −43i =∑
i=1
61
175). 75i =∑
i=1
85
176). 14i =∑
i=1
97
177). −22i =∑
i=1
65
178). 72i =∑
i=1
66
179). 2i =∑
i=1
77
180). 3i =∑
i=1
57
181). −27i =∑
i=1
61
182). 29i =∑
i=1
58
183). 56i =∑
i=1
94
184). −14i =∑
i=1
79
185). 18i =∑
i=1
72
186). 90i =∑
i=1
56
187). 72i =∑
i=1
72
188). 64i =∑
i=1
86
189). 13i =∑
i=1
80
190). −85i =∑
i=1
85
191). −42i =∑
i=1
51
192). −35i =∑
i=1
88
193). 33i =∑
i=1
57
194). 13i =∑
i=1
84
195). −44i =∑
i=1
50
196). 39i =∑
i=1
96
197). 38i =∑
i=1
61
198). −17i =∑
i=1
84
199). 59i =∑
i=1
98
200). 75i =∑
i=1
52
201). −80i =∑
i=1
91
202). −65i =∑
i=1
50
203). −33i =∑
i=1
81
204). 45i =∑
i=1
58
205). −53i =∑
i=1
83
206). −25i =∑
i=1
94
207). 60i =∑
i=1
97
208). 70i =∑
i=1
75
209). 44i =∑
i=1
52
210). −59i =∑
i=1
57
211). 57i =∑
i=1
69
212). 91i =∑
i=1
100
213). −92i =∑
i=1
50
214). 39i =∑
i=1
55
215). 3i =∑
i=1
72
216). 97i =∑
i=1
66
217). −86i =∑
i=1
95
218). 70i =∑
i=1
83
219). 22i =∑
i=1
92
220). −98i =∑
i=1
86
221). 53i =∑
i=1
81
222). 49i =∑
i=1
67
223). 30i =∑
i=1
50
224). −29i =∑
i=1
88
225). 30i =∑
i=1
73
226). 18i =∑
i=1
89
227). 83i =∑
i=1
93
228). 46i =∑
i=1
80
229). −75i =∑
i=1
74
230). 29i =∑
i=1
90
231). −71i =∑
i=1
52
232). 82i =∑
i=1
90
233). 84i =∑
i=1
97
234). 66i =∑
i=1
79
235). 22i =∑
i=1
72
236). −23i =∑
i=1
52
237). −74i =∑
i=1
53
238). −9i =∑
i=1
93
239). 15i =∑
i=1
76
240). 74i =∑
i=1
56
241). −67i =∑
i=1
71
242). −52i =∑
i=1
57
243). 16i =∑
i=1
80
244). 18i =∑
i=1
71
245). −5i =∑
i=1
59
246). −51i =∑
i=1
73
247). −91i =∑
i=1
77
248). −91i =∑
i=1
54
249). 8i =∑
i=1
81
250). −75i =∑
i=1
58
251). 20i =∑
i=1
64
252). 82i =∑
i=1
64
253). −79i =∑
i=1
95
254). −68i =∑
i=1
98
255). −53i =∑
i=1
100
256). −54i =∑
i=1
59
257). −35i =∑
i=1
54
258). −62i =∑
i=1
59
259). 25i =∑
i=1
56
260). −23i =∑
i=1
61
261). −24i =∑
i=1
84
262). −32i =∑
i=1
55
263). 5i =∑
i=1
79
264). 38i =∑
i=1
76
265). 92i =∑
i=1
83
266). 77i =∑
i=1
83
267). −13i =∑
i=1
66
268). −74i =∑
i=1
96
269). 6i =∑
i=1
98
270). 33i =∑
i=1
74
271). 97i =∑
i=1
53
272). −13i =∑
i=1
85
273). 24i =∑
i=1
101
274). 32i =∑
i=1
94
275). 65i =∑
i=1
79
276). 36i =∑
i=1
64
277). 9i =∑
i=1
75
278). 28i =∑
i=1
56
279). −96i =∑
i=1
74
280). 48i =∑
i=1
88
281). 50i =∑
i=1
55
282). 47i =∑
i=1
92
283). 94i =∑
i=1
66
284). 45i =∑
i=1
83
285). 99i =∑
i=1
96
286). 93i =∑
i=1
79
287). 41i =∑
i=1
81
288). −90i =∑
i=1
71
289). −36i =∑
i=1
69
290). 2i =∑
i=1
67
291). 92i =∑
i=1
84
292). 26i =∑
i=1
96
293). −72i =∑
i=1
84
294). −14i =∑
i=1
86
295). −91i =∑
i=1
90
296). −2i =∑
i=1
54
297). 89i =∑
i=1
73
298). −90i =∑
i=1
88
299). 18i =∑
i=1
59
300). 16i =∑
i=1
50
301). −20i =∑
i=1
95
302). −3i =∑
i=1
89
303). 72i =∑
i=1
81
304). 29i =∑
i=1
70
305). −9i =∑
i=1
69
306). −67i =∑
i=1
67
307). −99i =∑
i=1
68
308). −22i =∑
i=1
99
309). −30i =∑
i=1
101
310). −63i =∑
i=1
50
311). −8i =∑
i=1
72
312). 96i =∑
i=1
94
313). 89i =∑
i=1
95
314). −81i =∑
i=1
94
315). −72i =∑
i=1
68
316). 47i =∑
i=1
72
317). −56i =∑
i=1
98
318). −90i =∑
i=1
60
319). 57i =∑
i=1
100
320). −93i =∑
i=1
96
321). 58i =∑
i=1
84
322). 92i =∑
i=1
73
323). −12i =∑
i=1
92
324). −17i =∑
i=1
93
325). −68i =∑
i=1
86
326). 82i =∑
i=1
85
327). 83i =∑
i=1
52
328). 13i =∑
i=1
75
329). 3i =∑
i=1
54
330). 21i =∑
i=1
90
331). 90i =∑
i=1
96
332). 47i =∑
i=1
82
333). 28i =∑
i=1
71
334). −38i =∑
i=1
56
335). −14i =∑
i=1
93
336). −94i =∑
i=1
77
337). −70i =∑
i=1
56
338). −71i =∑
i=1
73
339). 21i =∑
i=1
75
340). −14i =∑
i=1
78
341). −72i =∑
i=1
58
342). −17i =∑
i=1
92
343). 26i =∑
i=1
63
344). −77i =∑
i=1
62
345). −79i =∑
i=1
101
346). 100i =∑
i=1
97
347). −21i =∑
i=1
66
348). −67i =∑
i=1
96
349). 44i =∑
i=1
55
350). 82i =∑
i=1
54
351). −73i =∑
i=1
67
352). −65i =∑
i=1
57
353). −32i =∑
i=1
51
354). 76i =∑
i=1
58
355). 41i =∑
i=1
97
356). 7i =∑
i=1
68
357). 91i =∑
i=1
86
358). 58i =∑
i=1
79
359). 83i =∑
i=1
92
360). −24i =∑
i=1
66
361).47i =∑
i=1
63
362). −9i =∑
i=1
50
363). −10i =∑
i=1
62
364). −80i =∑
i=1
50
365). 81i =∑
i=1
90
366). −42i =∑
i=1
99
367). 92i =∑
i=1
98
368). −67i =∑
i=1
80
369). 90i =∑
i=1
67
370). −18i =∑
i=1
79
371). 16i =∑
i=1
92
372). −90i =∑
i=1
71
373). 47i =∑
i=1
76
374). 67i =∑
i=1
78
375). 66i =∑
i=1
83
376). −84i =∑
i=1
78
377). −8i =∑
i=1
59
378). 31i =∑
i=1
100
379). −i =∑
i=1
100
380). 12i =∑
i=1
61
381). −31i =∑
i=1
85
382). 97i =∑
i=1
77
383). 94i =∑
i=1
68
384). 25i =∑
i=1
87
385). 44i =∑
i=1
79
386). −89i =∑
i=1
97
387). −73i =∑
i=1
101
388). 11i =∑
i=1
76
389). −11i =∑
i=1
73
390). 54i =∑
i=1
65
391). 23i =∑
i=1
78
392). −85i =∑
i=1
54
393). 40i =∑
i=1
100
394). −71i =∑
i=1
96
395). −77i =∑
i=1
50
396). 63i =∑
i=1
79
397). 59i =∑
i=1
55
398). −36i =∑
i=1
52
399). −77i =∑
i=1
88
400). 67i =∑
i=1
56
HOJA DE RESPUESTAS
Series
Hallar el resultado de la suma de las siguientes series:
1).
2).
3).
4).
5).
6).
7).
8).
9).
10).
11).
12).
−74i = −74 i = −74 ⋅ = −74 ⋅ 4465 = −330410∑
i=1
94
∑
i=1
94 94 ⋅ (94 + 1)
2
51i = 51 i = 51 ⋅ = 51 ⋅ 1596 = 81396∑
i=1
56
∑
i=1
56 56 ⋅ (56 + 1)
2
86i = 86 i = 86 ⋅ = 86 ⋅ 3240 = 278640∑
i=1
80
∑
i=1
80 80 ⋅ (80 + 1)
2
−44i = −44 i = −44 ⋅ = −44 ⋅ 2556 = −112464∑
i=1
71
∑
i=1
71 71 ⋅ (71 + 1)
2
−58i = −58 i = −58 ⋅ = −58 ⋅ 2016 = −116928∑
i=1
63
∑
i=1
63 63 ⋅ (63 + 1)
2
−23i = −23 i = −23 ⋅ = −23 ⋅ 2145 = −49335∑
i=1
65
∑
i=1
65 65 ⋅ (65 + 1)
2
81i = 81 i = 81 ⋅ = 81 ⋅ 4656 = 377136∑
i=1
96
∑
i=1
96 96 ⋅ (96 + 1)
2
27i = 27 i = 27 ⋅ = 27 ⋅ 1275 = 34425∑
i=1
50
∑
i=1
50 50 ⋅ (50 + 1)
2
97i = 97 i = 97 ⋅ = 97 ⋅ 1596 = 154812∑
i=1
56
∑
i=1
56 56 ⋅ (56 + 1)
2
−35i = −35 i = −35 ⋅ = −35 ⋅ 3321 = −116235∑
i=1
81
∑
i=1
81 81 ⋅ (81 + 1)
2
23i = 23 i = 23 ⋅ = 23 ⋅ 2346 = 53958∑
i=1
68
∑
i=1
68 68 ⋅ (68 + 1)
2
−17i = −17 i = −17 ⋅ = −17 ⋅ 3081 = −52377∑
i=1
78
∑
i=1
78 78 ⋅ (78 + 1)
2
13).
14).
15).
16).
17).
18).
19).
20).
21).
22).
23).
24).
25).
70i = 70 i = 70 ⋅ = 70 ⋅ 1830 = 128100∑
i=1
60
∑
i=1
60 60 ⋅ (60 + 1)
2
23i = 23 i = 23 ⋅ = 23 ⋅ 2701 = 62123∑
i=1
73
∑
i=1
73 73 ⋅ (73 + 1)
2
4i = 4 i = 4 ⋅ = 4 ⋅ 1485 = 5940∑
i=1
54
∑
i=1
54 54 ⋅ (54 + 1)
2
−34i = −34 i = −34 ⋅ = −34 ⋅ 1653 = −56202∑
i=1
57
∑
i=1
57 57 ⋅ (57 + 1)
2
−64i = −64 i = −64 ⋅ = −64 ⋅ 1711 = −109504∑
i=1
58
∑
i=1
58 58 ⋅ (58 + 1)
2
−12i = −12 i = −12 ⋅ = −12 ⋅ 3081 = −36972∑
i=1
78
∑
i=1
78 78 ⋅ (78 + 1)
2
96i = 96 i = 96 ⋅ = 96 ⋅ 2346 = 225216∑
i=1
68
∑
i=1
68 68 ⋅ (68 + 1)
2
79i = 79 i = 79 ⋅ = 79 ⋅ 3160 = 249640∑
i=1
79
∑
i=1
79 79 ⋅ (79 + 1)
2
59i = 59 i = 59 ⋅ = 59 ⋅ 1431 = 84429∑
i=1
53
∑
i=1
53 53 ⋅ (53 + 1)
2
29i = 29 i = 29 ⋅ = 29 ⋅ 4753 = 137837∑
i=1
97
∑
i=1
97 97 ⋅ (97 + 1)
2
−2i = −2 i = −2 ⋅ = −2 ⋅ 4950 = −9900∑
i=1
99
∑
i=1
99 99 ⋅ (99 + 1)
2
10i = 10 i = 10 ⋅ = 10 ⋅ 4371 = 43710∑
i=1
93
∑
i=1
93 93 ⋅ (93 + 1)
2
−44i = −44 i = −44 ⋅ = −44 ⋅ 4753 = −209132∑
i=1
97
∑
i=1
97 97 ⋅ (97 + 1)
2
26).
27).
28).
29).
30).
31).
32).
33).
34).
35).
36).
37).
38).
92i = 92 i = 92 ⋅ = 92 ⋅ 4186 = 385112∑
i=1
91
∑
i=1
91 91 ⋅ (91 + 1)
2
81i = 81 i = 81 ⋅ = 81 ⋅ 3081 = 249561∑
i=1
78
∑
i=1
78 78 ⋅ (78 + 1)
2
45i = 45 i = 45 ⋅ = 45 ⋅ 2926 = 131670∑
i=1
76
∑
i=1
76 76 ⋅ (76 + 1)
2
4i = 4 i = 4 ⋅ = 4 ⋅ 2145 = 8580∑
i=1
65
∑
i=1
65 65 ⋅ (65 + 1)
2
−75i = −75 i = −75 ⋅ = −75 ⋅ 4560 = −342000∑
i=1
95
∑
i=1
95 95 ⋅ (95 + 1)
2
−11i = −11 i = −11 ⋅ = −11 ⋅ 4950 = −54450∑
i=1
99
∑
i=1
99 99 ⋅ (99 + 1)
2
−i = − i = − = −2346∑
i=1
68
∑
i=1
68 68 ⋅ (68 + 1)
2
−31i = −31 i = −31 ⋅ = −31 ⋅ 5050 = −156550∑
i=1
100
∑
i=1
100 100 ⋅ (100 + 1)
2
−76i = −76 i = −76 ⋅ = −76 ⋅ 1485 = −112860∑
i=1
54
∑
i=1
54 54 ⋅ (54 + 1)
2
−15i = −15 i = −15 ⋅ = −15 ⋅ 4005 = −60075∑
i=1
89
∑
i=1
89 89 ⋅ (89 + 1)
2
85i = 85 i = 85 ⋅ = 85 ⋅ 2346 = 199410∑
i=1
68
∑
i=1
68 68 ⋅ (68 + 1)
2
91i = 91 i = 91 ⋅ = 91 ⋅ 2485 = 226135∑
i=1
70
∑
i=1
70 70 ⋅ (70 + 1)
2
−58i = −58 i = −58 ⋅ = −58 ⋅ 2278 = −132124∑
i=1
67
∑
i=1
67 67 ⋅ (67 + 1)
2
39).
40).
41).
42).
43).
44).
45).
46).
47).
48).
49).
50).
51).
−61i = −61 i = −61 ⋅ = −61 ⋅ 2016 = −122976∑
i=1
63
∑
i=1
63 63 ⋅ (63 + 1)
2
−7i = −7 i = −7 ⋅ = −7 ⋅ 2278 = −15946∑
i=1
67
∑
i=1
67 67 ⋅ (67 + 1)
2
−21i = −21 i = −21 ⋅ = −21 ⋅ 3655 = −76755∑
i=1
85
∑
i=1
85 85 ⋅ (85 + 1)
2
25i = 25 i = 25 ⋅ = 25 ⋅ 4186 = 104650∑
i=1
91
∑
i=1
91 91 ⋅ (91 + 1)
2
38i = 38 i = 38 ⋅ = 38 ⋅ 3570 = 135660∑
i=1
84
∑
i=1
84 84 ⋅ (84 + 1)
2
−70i = −70 i = −70 ⋅ = −70 ⋅ 3916 = −274120∑
i=1
88
∑
i=1
88 88 ⋅ (88 + 1)
2
−12i = −12 i = −12 ⋅ = −12 ⋅ 1596 = −19152∑
i=1
56
∑
i=1
56 56 ⋅ (56 + 1)
2
58i = 58 i = 58 ⋅ = 58 ⋅ 4005 = 232290∑
i=1
89
∑
i=1
89 89 ⋅ (89 + 1)
2
−81i = −81 i = −81 ⋅ = −81 ⋅ 3003 = −243243∑
i=1
77
∑
i=1
77 77 ⋅ (77 + 1)
2
−83i = −83 i = −83 ⋅ = −83 ⋅ 2016 = −167328∑
i=1
63
∑
i=1
63 63 ⋅ (63 + 1)
2
82i = 82 i = 82 ⋅ = 82 ⋅ 3570 = 292740∑
i=1
84
∑
i=1
84 84 ⋅ (84 + 1)
2
−12i = −12 i = −12 ⋅ = −12 ⋅ 5151 = −61812∑
i=1
101
∑
i=1
101 101 ⋅ (101 + 1)
2
−12i = −12 i = −12 ⋅ = −12 ⋅ 1596 = −19152∑
i=1
56
∑
i=1
56 56 ⋅ (56 + 1)
2
52).
53).
54).
55).
56).
57).
58).
59).
60).
61).
62).
63).
64).
−67i = −67 i = −67 ⋅ = −67 ⋅ 1891 = −126697∑
i=1
61
∑
i=1
61 61 ⋅ (61 + 1)
2
−27i = −27 i = −27 ⋅ = −27 ⋅ 2415 = −65205∑
i=1
69
∑
i=1
69 69 ⋅ (69 + 1)
2
−84i = −84 i = −84 ⋅ = −84 ⋅ 3003 = −252252∑
i=1
77
∑
i=1
77 77 ⋅ (77 + 1)
2
−75i = −75 i = −75 ⋅ = −75 ⋅ 1431 = −107325∑
i=1
53
∑
i=1
53 53 ⋅ (53 + 1)
2
−26i = −26 i = −26 ⋅ = −26 ⋅ 2278 = −59228∑
i=1
67
∑
i=1
67 67 ⋅ (67 + 1)
2
−52i = −52 i = −52 ⋅ = −52 ⋅ 2701 = −140452∑
i=1
73
∑
i=1
73 73 ⋅ (73 + 1)
2
−25i = −25 i = −25 ⋅ = −25 ⋅ 2145 = −53625∑
i=1
65
∑
i=1
65 65 ⋅ (65 + 1)
2
−9i = −9 i = −9 ⋅ = −9 ⋅ 3403 = −30627∑
i=1
82
∑
i=1
82 82 ⋅ (82 + 1)
2
−87i = −87 i = −87 ⋅ = −87 ⋅ 3003 = −261261∑
i=1
77
∑
i=1
77 77 ⋅ (77 + 1)
2
35i = 35 i = 35 ⋅ = 35 ⋅ 3655 = 127925∑
i=1
85
∑
i=1
85 85 ⋅ (85 + 1)
2
−7i = −7 i = −7 ⋅ = −7 ⋅ 3081 = −21567∑
i=1
78
∑
i=1
78 78 ⋅ (78 + 1)
2
−2i = −2 i = −2 ⋅ = −2 ⋅ 2080 = −4160∑
i=1
64
∑
i=1
64 64 ⋅ (64 + 1)
2
−4i = −4 i = −4 ⋅ = −4 ⋅ 4950 = −19800∑
i=1
99
∑
i=1
99 99 ⋅ (99 + 1)
2
65).
66).
67).
68).
69).
70).
71).
72).
73).
74).
75).
76).
77).
83i = 83 i = 83 ⋅ = 83 ⋅ 1891 = 156953∑
i=1
61
∑
i=1
61 61 ⋅ (61 + 1)
2
13i = 13 i = 13 ⋅ = 13 ⋅ 4656 = 60528∑
i=1
96
∑
i=1
96 96 ⋅ (96 + 1)
2
10i = 10 i = 10 ⋅ = 10 ⋅ 5151 = 51510∑
i=1
101
∑
i=1
101 101 ⋅ (101 + 1)
2
7i = 7 i = 7 ⋅ = 7 ⋅ 3570 = 24990∑
i=1
84
∑
i=1
84 84 ⋅ (84 + 1)
2
−26i = −26 i = −26 ⋅ = −26 ⋅ 1540 = −40040∑
i=1
55
∑
i=1
55 55 ⋅ (55 + 1)
2
85i = 85 i = 85 ⋅ = 85 ⋅ 2016 = 171360∑
i=1
63
∑
i=1
63 63 ⋅ (63 + 1)
2
−63i = −63 i = −63 ⋅ = −63 ⋅ 2628 = −165564∑
i=1
72
∑
i=1
72 72 ⋅ (72 + 1)
2
−69i = −69 i = −69 ⋅ = −69 ⋅ 5050 = −348450∑
i=1
100
∑
i=1
100 100 ⋅ (100 + 1)
2
53i = 53 i = 53 ⋅ = 53 ⋅ 2775 = 147075∑
i=1
74
∑
i=1
74 74 ⋅ (74 + 1)
2
−23i = −23 i = −23 ⋅ = −23 ⋅ 2926 = −67298∑
i=1
76
∑
i=1
76 76 ⋅ (76 + 1)
2
81i = 81 i = 81 ⋅ = 81 ⋅ 5050 = 409050∑
i=1
100
∑
i=1
100 100 ⋅ (100 + 1)
2
70i = 70 i = 70 ⋅ = 70 ⋅ 4560 = 319200∑
i=1
95
∑
i=1
95 95 ⋅ (95 + 1)
2
−59i = −59 i = −59 ⋅ = −59 ⋅ 1431 = −84429∑
i=1
53
∑
i=1
53 53 ⋅ (53 + 1)
2
78).
79).
80).
81).
82).
83).
84).
85).
86).
87).
88).
89).
90).
−88i = −88 i = −88 ⋅ = −88 ⋅ 3403 = −299464∑
i=1
82
∑
i=1
82 82 ⋅ (82 + 1)
2
−93i = −93 i = −93 ⋅ = −93 ⋅ 4465 = −415245∑
i=1
94
∑
i=1
94 94 ⋅ (94 + 1)
2
−24i = −24 i = −24 ⋅ = −24 ⋅ 4278 = −102672∑
i=1
92
∑
i=1
92 92 ⋅ (92 + 1)
2
−82i = −82 i = −82 ⋅ = −82 ⋅ 2775 = −227550∑
i=1
74
∑
i=1
74 74 ⋅ (74 + 1)
2
−50i = −50 i = −50 ⋅ = −50 ⋅ 2145 = −107250∑
i=1
65
∑
i=1
65 65 ⋅ (65 + 1)
2
−8i = −8 i = −8 ⋅ = −8 ⋅ 1830 = −14640∑
i=160
∑
i=1
60 60 ⋅ (60 + 1)
2
69i = 69 i = 69 ⋅ = 69 ⋅ 1711 = 118059∑
i=1
58
∑
i=1
58 58 ⋅ (58 + 1)
2
−53i = −53 i = −53 ⋅ = −53 ⋅ 5151 = −273003∑
i=1
101
∑
i=1
101 101 ⋅ (101 + 1)
2
18i = 18 i = 18 ⋅ = 18 ⋅ 4656 = 83808∑
i=1
96
∑
i=1
96 96 ⋅ (96 + 1)
2
22i = 22 i = 22 ⋅ = 22 ⋅ 4753 = 104566∑
i=1
97
∑
i=1
97 97 ⋅ (97 + 1)
2
−24i = −24 i = −24 ⋅ = −24 ⋅ 1830 = −43920∑
i=1
60
∑
i=1
60 60 ⋅ (60 + 1)
2
56i = 56 i = 56 ⋅ = 56 ⋅ 1711 = 95816∑
i=1
58
∑
i=1
58 58 ⋅ (58 + 1)
2
−61i = −61 i = −61 ⋅ = −61 ⋅ 3403 = −207583∑
i=1
82
∑
i=1
82 82 ⋅ (82 + 1)
2
91).
92).
93).
94).
95).
96).
97).
98).
99).
100).
101).
102).
103).
−i = − i = − = −2775∑
i=1
74
∑
i=1
74 74 ⋅ (74 + 1)
2
−68i = −68 i = −68 ⋅ = −68 ⋅ 4656 = −316608∑
i=1
96
∑
i=1
96 96 ⋅ (96 + 1)
2
−83i = −83 i = −83 ⋅ = −83 ⋅ 3003 = −249249∑
i=1
77
∑
i=1
77 77 ⋅ (77 + 1)
2
−12i = −12 i = −12 ⋅ = −12 ⋅ 2080 = −24960∑
i=1
64
∑
i=1
64 64 ⋅ (64 + 1)
2
70i = 70 i = 70 ⋅ = 70 ⋅ 4278 = 299460∑
i=1
92
∑
i=1
92 92 ⋅ (92 + 1)
2
−7i = −7 i = −7 ⋅ = −7 ⋅ 3916 = −27412∑
i=1
88
∑
i=1
88 88 ⋅ (88 + 1)
2
85i = 85 i = 85 ⋅ = 85 ⋅ 1953 = 166005∑
i=1
62
∑
i=1
62 62 ⋅ (62 + 1)
2
−25i = −25 i = −25 ⋅ = −25 ⋅ 1326 = −33150∑
i=1
51
∑
i=1
51 51 ⋅ (51 + 1)
2
41i = 41 i = 41 ⋅ = 41 ⋅ 4465 = 183065∑
i=1
94
∑
i=1
94 94 ⋅ (94 + 1)
2
35i = 35 i = 35 ⋅ = 35 ⋅ 2415 = 84525∑
i=1
69
∑
i=1
69 69 ⋅ (69 + 1)
2
−30i = −30 i = −30 ⋅ = −30 ⋅ 4851 = −145530∑
i=1
98
∑
i=1
98 98 ⋅ (98 + 1)
2
−96i = −96 i = −96 ⋅ = −96 ⋅ 2145 = −205920∑
i=1
65
∑
i=1
65 65 ⋅ (65 + 1)
2
−86i = −86 i = −86 ⋅ = −86 ⋅ 4851 = −417186∑
i=1
98
∑
i=1
98 98 ⋅ (98 + 1)
2
104).
105).
106).
107).
108).
109).
110).
111).
112).
113).
114).
115).
116).
6i = 6 i = 6 ⋅ = 6 ⋅ 2016 = 12096∑
i=1
63
∑
i=1
63 63 ⋅ (63 + 1)
2
71i = 71 i = 71 ⋅ = 71 ⋅ 4851 = 344421∑
i=1
98
∑
i=1
98 98 ⋅ (98 + 1)
2
28i = 28 i = 28 ⋅ = 28 ⋅ 2485 = 69580∑
i=1
70
∑
i=1
70 70 ⋅ (70 + 1)
2
26i = 26 i = 26 ⋅ = 26 ⋅ 1378 = 35828∑
i=1
52
∑
i=1
52 52 ⋅ (52 + 1)
2
54i = 54 i = 54 ⋅ = 54 ⋅ 2211 = 119394∑
i=1
66
∑
i=1
66 66 ⋅ (66 + 1)
2
30i = 30 i = 30 ⋅ = 30 ⋅ 3828 = 114840∑
i=1
87
∑
i=1
87 87 ⋅ (87 + 1)
2
−73i = −73 i = −73 ⋅ = −73 ⋅ 3240 = −236520∑
i=1
80
∑
i=1
80 80 ⋅ (80 + 1)
2
13i = 13 i = 13 ⋅ = 13 ⋅ 4753 = 61789∑
i=1
97
∑
i=1
97 97 ⋅ (97 + 1)
2
95i = 95 i = 95 ⋅ = 95 ⋅ 5050 = 479750∑
i=1
100
∑
i=1
100 100 ⋅ (100 + 1)
2
67i = 67 i = 67 ⋅ = 67 ⋅ 3828 = 256476∑
i=1
87
∑
i=1
87 87 ⋅ (87 + 1)
2
−95i = −95 i = −95 ⋅ = −95 ⋅ 4656 = −442320∑
i=1
96
∑
i=1
96 96 ⋅ (96 + 1)
2
−100i = −100 i = −100 ⋅ = −100 ⋅ 3486 = −348600∑
i=1
83
∑
i=1
83 83 ⋅ (83 + 1)
2
90i = 90 i = 90 ⋅ = 90 ⋅ 2145 = 193050∑
i=1
65
∑
i=1
65 65 ⋅ (65 + 1)
2
117).
118).
119).
120).
121).
122).
123).
124).
125).
126).
127).
128).
129).
−53i = −53 i = −53 ⋅ = −53 ⋅ 2775 = −147075∑
i=1
74
∑
i=1
74 74 ⋅ (74 + 1)
2
91i = 91 i = 91 ⋅ = 91 ⋅ 3486 = 317226∑
i=1
83
∑
i=1
83 83 ⋅ (83 + 1)
2
3i = 3 i = 3 ⋅ = 3 ⋅ 4095 = 12285∑
i=1
90
∑
i=1
90 90 ⋅ (90 + 1)
2
−36i = −36 i = −36 ⋅ = −36 ⋅ 1485 = −53460∑
i=1
54
∑
i=1
54 54 ⋅ (54 + 1)
2
38i = 38 i = 38 ⋅ = 38 ⋅ 5151 = 195738∑
i=1
101
∑
i=1
101 101 ⋅ (101 + 1)
2
−73i = −73 i = −73 ⋅ = −73 ⋅ 1431 = −104463∑
i=1
53
∑
i=1
53 53 ⋅ (53 + 1)
2
−51i = −51 i = −51 ⋅ = −51 ⋅ 5050 = −257550∑
i=1
100
∑
i=1
100 100 ⋅ (100 + 1)
2
−50i = −50 i = −50 ⋅ = −50 ⋅ 1770 = −88500∑
i=1
59
∑
i=1
59 59 ⋅ (59 + 1)
2
89i = 89 i = 89 ⋅ = 89 ⋅ 1830 = 162870∑
i=1
60
∑
i=1
60 60 ⋅ (60 + 1)
2
−74i = −74 i = −74 ⋅ = −74 ⋅ 2145 = −158730∑
i=1
65
∑
i=1
65 65 ⋅ (65 + 1)
2
−6i = −6 i = −6 ⋅ = −6 ⋅ 3003 = −18018∑
i=1
77
∑
i=1
77 77 ⋅ (77 + 1)
2
29i = 29 i = 29 ⋅ = 29 ⋅ 1275 = 36975∑
i=1
50
∑
i=1
50 50 ⋅ (50 + 1)
2
−34i = −34 i = −34 ⋅ = −34 ⋅ 2211 = −75174∑
i=1
66
∑
i=1
66 66 ⋅ (66 + 1)
2
130).
131).
132).
133).
134).
135).
136).
137).
138).
139).
140).
141).
142).
−38i = −38 i = −38 ⋅ = −38 ⋅ 3655 = −138890∑
i=1
85
∑
i=1
85 85 ⋅ (85 + 1)
2
47i = 47 i = 47 ⋅ = 47 ⋅ 1431 = 67257∑
i=1
53
∑
i=1
53 53 ⋅ (53 + 1)
2
52i = 52 i = 52 ⋅ = 52 ⋅ 4851 = 252252∑
i=1
98
∑
i=1
98 98 ⋅ (98 + 1)
2
−84i = −84 i = −84 ⋅ = −84 ⋅ 3321 = −278964∑
i=1
81
∑
i=1
81 81 ⋅ (81 + 1)
2
4i = 4 i = 4 ⋅ = 4 ⋅ 1378 = 5512∑
i=1
52
∑
i=1
52 52 ⋅ (52 + 1)
2
−17i = −17 i = −17 ⋅ = −17 ⋅ 2628 = −44676∑
i=1
72
∑
i=1
72 72 ⋅ (72 + 1)
2
31i = 31 i = 31 ⋅ = 31 ⋅ 4950 = 153450∑
i=1
99
∑
i=1
99 99 ⋅ (99 + 1)
2
−37i = −37 i = −37 ⋅ = −37 ⋅ 4560 = −168720∑
i=1
95
∑
i=1
95 95 ⋅ (95 + 1)
2
22i = 22 i = 22 ⋅ = 22 ⋅ 4753 = 104566∑
i=1
97
∑
i=1
97 97 ⋅ (97 + 1)
2
32i = 32 i = 32 ⋅ = 32 ⋅ 1326 = 42432∑
i=1
51
∑
i=1
51 51 ⋅ (51 + 1)
2
−3i = −3 i = −3 ⋅ = −3 ⋅ 4753 = −14259∑
i=1
97
∑
i=1
97 97 ⋅ (97 + 1)
2
−31i = −31 i = −31 ⋅ = −31 ⋅ 1953 = −60543∑
i=1
62
∑
i=1
62 62 ⋅ (62 + 1)
2
2i = 2 i = 2 ⋅ = 2 ⋅ 2016 = 4032∑
i=1
63
∑
i=1
63 63 ⋅ (63 + 1)
2
143).
144).
145).
146).
147).
148).
149).
150).
151).
152).
153).
154).
155).
15i = 15 i = 15 ⋅ = 15 ⋅ 3570 = 53550∑
i=1
84
∑
i=1
84 84 ⋅ (84 + 1)
2
4i = 4 i = 4 ⋅ = 4 ⋅ 3741 = 14964∑
i=1
86
∑
i=1
86 86 ⋅ (86 + 1)
2
−25i = −25 i = −25 ⋅ = −25 ⋅ 4753 = −118825∑
i=1
97
∑
i=1
97 97 ⋅ (97 + 1)
2
−73i = −73 i = −73 ⋅ = −73 ⋅ 1891 = −138043∑
i=1
61
∑
i=1
61 61 ⋅ (61 + 1)
2
26i = 26 i = 26 ⋅ = 26 ⋅ 3655 = 95030∑
i=1
85
∑
i=1
85 85 ⋅ (85 + 1)
2
−70i = −70 i = −70 ⋅ = −70 ⋅ 2080 = −145600∑
i=1
64
∑
i=1
64 64 ⋅ (64 + 1)
2
53i = 53 i = 53 ⋅ = 53 ⋅ 3741 = 198273∑
i=1
86
∑
i=1
86 86 ⋅ (86 + 1)
2
−32i = −32 i = −32 ⋅ = −32 ⋅ 2485 = −79520∑
i=1
70
∑
i=1
70 70 ⋅ (70 + 1)
2
99i = 99 i = 99 ⋅ = 99 ⋅ 2556 = 253044∑
i=1
71
∑
i=1
71 71 ⋅ (71 + 1)
2
32i = 32 i = 32 ⋅ = 32 ⋅ 1326 = 42432∑
i=1
51
∑
i=1
51 51 ⋅ (51 + 1)
2
14i = 14 i = 14 ⋅ = 14 ⋅ 1326 = 18564∑
i=1
51
∑
i=1
51 51 ⋅ (51 + 1)
2
2i = 2 i = 2 ⋅ = 2 ⋅ 2145 = 4290∑
i=1
65
∑
i=1
65 65 ⋅ (65 + 1)
2
71i = 71 i = 71 ⋅ = 71 ⋅ 4950 = 351450∑
i=1
99
∑
i=1
99 99 ⋅ (99 + 1)
2
156).
157).
158).
159).
160).
161).
162).
163).
164).
165).
166).
167).
168).
−43i = −43 i = −43 ⋅ = −43 ⋅ 3321 = −142803∑
i=1
81
∑
i=1
81 81 ⋅ (81 + 1)
2
−90i = −90 i = −90 ⋅ = −90 ⋅ 2556 = −230040∑
i=1
71
∑
i=1
71 71 ⋅ (71 + 1)
2
84i = 84 i = 84 ⋅ = 84 ⋅ 1275 = 107100∑
i=1
50
∑
i=1
50 50 ⋅ (50 + 1)
2
93i = 93 i = 93 ⋅ = 93 ⋅ 2775 = 258075∑
i=1
74
∑
i=1
74 74 ⋅ (74 + 1)
2
−68i = −68 i = −68 ⋅ = −68 ⋅ 3003 = −204204∑
i=1
77
∑
i=1
77 77 ⋅ (77 + 1)
2
90i = 90 i = 90 ⋅ = 90 ⋅ 5050 = 454500∑
i=1
100
∑
i=1
100 100 ⋅ (100 + 1)
2
−95i = −95 i = −95 ⋅ = −95 ⋅ 4753 = −451535∑
i=1
97
∑
i=1
97 97 ⋅ (97 + 1)
2
45i = 45 i = 45 ⋅ = 45 ⋅ 4560 = 205200∑
i=1
95
∑
i=1
95 95 ⋅ (95 + 1)
2
3i = 3 i = 3 ⋅ = 3 ⋅ 3916 = 11748∑
i=1
88
∑
i=1
88 88 ⋅ (88 + 1)
2
84i = 84 i = 84 ⋅ = 84 ⋅ 4656 = 391104∑
i=1
96
∑
i=1
96 96 ⋅ (96 + 1)
2
95i = 95 i = 95 ⋅ = 95 ⋅ 2701 = 256595∑
i=1
73
∑
i=1
73 73 ⋅ (73 + 1)
2
−74i = −74 i = −74 ⋅ = −74 ⋅ 2211 = −163614∑
i=1
66
∑
i=1
66 66 ⋅ (66 + 1)
2
−70i = −70 i = −70 ⋅ = −70 ⋅ 3081 = −215670∑
i=1
78
∑
i=1
78 78 ⋅ (78 + 1)
2
169).
170).
171).
172).
173).
174).
175).
176).
177).
178).
179).
180).
181).
−31i = −31 i = −31 ⋅ = −31 ⋅ 1378 = −42718∑
i=1
52
∑
i=1
52 52 ⋅ (52 + 1)
2
38i = 38 i = 38 ⋅ = 38 ⋅ 5050 = 191900∑
i=1
100
∑
i=1
100 100 ⋅ (100 + 1)
2
83i = 83 i = 83 ⋅ = 83 ⋅ 3081 = 255723∑
i=1
78
∑
i=1
78 78 ⋅ (78 + 1)
2
88i = 88 i = 88 ⋅ = 88 ⋅ 2850 = 250800∑
i=1
75
∑
i=1
75 75 ⋅ (75 + 1)
2
−65i = −65 i = −65 ⋅ = −65 ⋅ 1830 = −118950∑
i=1
60
∑
i=1
60 60 ⋅ (60 + 1)
2
−43i = −43 i = −43 ⋅ = −43 ⋅ 1891 = −81313∑
i=1
61
∑
i=1
61 61 ⋅ (61 + 1)
2
75i = 75 i = 75 ⋅ = 75 ⋅ 3655 = 274125∑
i=1
85
∑
i=1
85 85 ⋅ (85 + 1)
2
14i = 14 i = 14 ⋅ = 14 ⋅ 4753 = 66542∑
i=1
97
∑
i=1
97 97 ⋅ (97 + 1)
2
−22i = −22 i = −22 ⋅ = −22 ⋅ 2145 = −47190∑
i=1
65
∑
i=1
65 65 ⋅ (65 + 1)2
72i = 72 i = 72 ⋅ = 72 ⋅ 2211 = 159192∑
i=1
66
∑
i=1
66 66 ⋅ (66 + 1)
2
2i = 2 i = 2 ⋅ = 2 ⋅ 3003 = 6006∑
i=1
77
∑
i=1
77 77 ⋅ (77 + 1)
2
3i = 3 i = 3 ⋅ = 3 ⋅ 1653 = 4959∑
i=1
57
∑
i=1
57 57 ⋅ (57 + 1)
2
−27i = −27 i = −27 ⋅ = −27 ⋅ 1891 = −51057∑
i=1
61
∑
i=1
61 61 ⋅ (61 + 1)
2
182).
183).
184).
185).
186).
187).
188).
189).
190).
191).
192).
193).
194).
29i = 29 i = 29 ⋅ = 29 ⋅ 1711 = 49619∑
i=1
58
∑
i=1
58 58 ⋅ (58 + 1)
2
56i = 56 i = 56 ⋅ = 56 ⋅ 4465 = 250040∑
i=1
94
∑
i=1
94 94 ⋅ (94 + 1)
2
−14i = −14 i = −14 ⋅ = −14 ⋅ 3160 = −44240∑
i=1
79
∑
i=1
79 79 ⋅ (79 + 1)
2
18i = 18 i = 18 ⋅ = 18 ⋅ 2628 = 47304∑
i=1
72
∑
i=1
72 72 ⋅ (72 + 1)
2
90i = 90 i = 90 ⋅ = 90 ⋅ 1596 = 143640∑
i=1
56
∑
i=1
56 56 ⋅ (56 + 1)
2
72i = 72 i = 72 ⋅ = 72 ⋅ 2628 = 189216∑
i=1
72
∑
i=1
72 72 ⋅ (72 + 1)
2
64i = 64 i = 64 ⋅ = 64 ⋅ 3741 = 239424∑
i=1
86
∑
i=1
86 86 ⋅ (86 + 1)
2
13i = 13 i = 13 ⋅ = 13 ⋅ 3240 = 42120∑
i=1
80
∑
i=1
80 80 ⋅ (80 + 1)
2
−85i = −85 i = −85 ⋅ = −85 ⋅ 3655 = −310675∑
i=1
85
∑
i=1
85 85 ⋅ (85 + 1)
2
−42i = −42 i = −42 ⋅ = −42 ⋅ 1326 = −55692∑
i=1
51
∑
i=1
51 51 ⋅ (51 + 1)
2
−35i = −35 i = −35 ⋅ = −35 ⋅ 3916 = −137060∑
i=1
88
∑
i=1
88 88 ⋅ (88 + 1)
2
33i = 33 i = 33 ⋅ = 33 ⋅ 1653 = 54549∑
i=1
57
∑
i=1
57 57 ⋅ (57 + 1)
2
13i = 13 i = 13 ⋅ = 13 ⋅ 3570 = 46410∑
i=1
84
∑
i=1
84 84 ⋅ (84 + 1)
2
195).
196).
197).
198).
199).
200).
201).
202).
203).
204).
205).
206).
207).
−44i = −44 i = −44 ⋅ = −44 ⋅ 1275 = −56100∑
i=1
50
∑
i=1
50 50 ⋅ (50 + 1)
2
39i = 39 i = 39 ⋅ = 39 ⋅ 4656 = 181584∑
i=1
96
∑
i=1
96 96 ⋅ (96 + 1)
2
38i = 38 i = 38 ⋅ = 38 ⋅ 1891 = 71858∑
i=1
61
∑
i=1
61 61 ⋅ (61 + 1)
2
−17i = −17 i = −17 ⋅ = −17 ⋅ 3570 = −60690∑
i=1
84
∑
i=1
84 84 ⋅ (84 + 1)
2
59i = 59 i = 59 ⋅ = 59 ⋅ 4851 = 286209∑
i=1
98
∑
i=1
98 98 ⋅ (98 + 1)
2
75i = 75 i = 75 ⋅ = 75 ⋅ 1378 = 103350∑
i=1
52
∑
i=1
52 52 ⋅ (52 + 1)
2
−80i = −80 i = −80 ⋅ = −80 ⋅ 4186 = −334880∑
i=1
91
∑
i=1
91 91 ⋅ (91 + 1)
2
−65i = −65 i = −65 ⋅ = −65 ⋅ 1275 = −82875∑
i=1
50
∑
i=1
50 50 ⋅ (50 + 1)
2
−33i = −33 i = −33 ⋅ = −33 ⋅ 3321 = −109593∑
i=1
81
∑
i=1
81 81 ⋅ (81 + 1)
2
45i = 45 i = 45 ⋅ = 45 ⋅ 1711 = 76995∑
i=1
58
∑
i=1
58 58 ⋅ (58 + 1)
2
−53i = −53 i = −53 ⋅ = −53 ⋅ 3486 = −184758∑
i=1
83
∑
i=1
83 83 ⋅ (83 + 1)
2
−25i = −25 i = −25 ⋅ = −25 ⋅ 4465 = −111625∑
i=1
94
∑
i=1
94 94 ⋅ (94 + 1)
2
60i = 60 i = 60 ⋅ = 60 ⋅ 4753 = 285180∑
i=1
97
∑
i=1
97 97 ⋅ (97 + 1)
2
208).
209).
210).
211).
212).
213).
214).
215).
216).
217).
218).
219).
220).
70i = 70 i = 70 ⋅ = 70 ⋅ 2850 = 199500∑
i=1
75
∑
i=1
75 75 ⋅ (75 + 1)
2
44i = 44 i = 44 ⋅ = 44 ⋅ 1378 = 60632∑
i=1
52
∑
i=1
52 52 ⋅ (52 + 1)
2
−59i = −59 i = −59 ⋅ = −59 ⋅ 1653 = −97527∑
i=1
57
∑
i=1
57 57 ⋅ (57 + 1)
2
57i = 57 i = 57 ⋅ = 57 ⋅ 2415 = 137655∑
i=1
69
∑
i=1
69 69 ⋅ (69 + 1)
2
91i = 91 i = 91 ⋅ = 91 ⋅ 5050 = 459550∑
i=1
100
∑
i=1
100 100 ⋅ (100 + 1)
2
−92i = −92 i = −92 ⋅ = −92 ⋅ 1275 = −117300∑
i=1
50
∑
i=1
50 50 ⋅ (50 + 1)
2
39i = 39 i = 39 ⋅ = 39 ⋅ 1540 = 60060∑
i=1
55
∑
i=1
55 55 ⋅ (55 + 1)
2
3i = 3 i = 3 ⋅ = 3 ⋅ 2628 = 7884∑
i=1
72
∑
i=1
72 72 ⋅ (72 + 1)
2
97i = 97 i = 97 ⋅ = 97 ⋅ 2211 = 214467∑
i=1
66
∑
i=1
66 66 ⋅ (66 + 1)
2
−86i = −86 i = −86 ⋅ = −86 ⋅ 4560 = −392160∑
i=1
95
∑
i=1
95 95 ⋅ (95 + 1)
2
70i = 70 i = 70 ⋅ = 70 ⋅ 3486 = 244020∑
i=1
83
∑
i=1
83 83 ⋅ (83 + 1)
2
22i = 22 i = 22 ⋅ = 22 ⋅ 4278 = 94116∑
i=1
92
∑
i=1
92 92 ⋅ (92 + 1)
2
−98i = −98 i = −98 ⋅ = −98 ⋅ 3741 = −366618∑
i=1
86
∑
i=1
86 86 ⋅ (86 + 1)
2
221).
222).
223).
224).
225).
226).
227).
228).
229).
230).
231).
232).
233).
53i = 53 i = 53 ⋅ = 53 ⋅ 3321 = 176013∑
i=1
81
∑
i=1
81 81 ⋅ (81 + 1)
2
49i = 49 i = 49 ⋅ = 49 ⋅ 2278 = 111622∑
i=1
67
∑
i=1
67 67 ⋅ (67 + 1)
2
30i = 30 i = 30 ⋅ = 30 ⋅ 1275 = 38250∑
i=1
50
∑
i=1
50 50 ⋅ (50 + 1)
2
−29i = −29 i = −29 ⋅ = −29 ⋅ 3916 = −113564∑
i=1
88
∑
i=1
88 88 ⋅ (88 + 1)
2
30i = 30 i = 30 ⋅ = 30 ⋅ 2701 = 81030∑
i=1
73
∑
i=1
73 73 ⋅ (73 + 1)
2
18i = 18 i = 18 ⋅ = 18 ⋅ 4005 = 72090∑
i=1
89
∑
i=1
89 89 ⋅ (89 + 1)
2
83i = 83 i = 83 ⋅ = 83 ⋅ 4371 = 362793∑
i=1
93
∑
i=1
93 93 ⋅ (93 + 1)
2
46i = 46 i = 46 ⋅ = 46 ⋅ 3240 = 149040∑
i=1
80
∑
i=1
80 80 ⋅ (80 + 1)
2
−75i = −75 i = −75 ⋅ = −75 ⋅ 2775 = −208125∑
i=1
74
∑
i=1
74 74 ⋅ (74 + 1)
2
29i = 29 i = 29 ⋅ = 29 ⋅ 4095 = 118755∑
i=1
90
∑
i=1
90 90 ⋅ (90 + 1)
2
−71i = −71 i = −71 ⋅ = −71 ⋅ 1378 = −97838∑
i=1
52
∑
i=1
52 52 ⋅ (52 + 1)
2
82i = 82 i = 82 ⋅ = 82 ⋅ 4095 = 335790∑
i=1
90
∑
i=1
90 90 ⋅ (90 + 1)
2
84i = 84 i = 84 ⋅ = 84 ⋅ 4753 = 399252∑
i=1
97
∑
i=1
97 97 ⋅ (97 + 1)
2
234).
235).
236).
237).
238).
239).
240).
241).
242).
243).
244).
245).
246).
66i = 66 i = 66 ⋅ = 66 ⋅ 3160 = 208560∑
i=1
79
∑
i=1
79 79 ⋅ (79 + 1)
2
22i = 22 i = 22 ⋅ = 22 ⋅ 2628 = 57816∑
i=1
72
∑
i=1
72 72 ⋅ (72 + 1)
2
−23i = −23 i = −23 ⋅ = −23 ⋅ 1378 = −31694∑
i=1
52
∑
i=1
52 52 ⋅ (52 + 1)
2
−74i = −74 i = −74 ⋅ = −74 ⋅ 1431 = −105894∑
i=1
53
∑
i=1
53 53 ⋅ (53 + 1)
2
−9i = −9 i = −9 ⋅ = −9 ⋅ 4371 = −39339∑
i=1
93
∑
i=1
93 93 ⋅ (93 + 1)
2
15i = 15 i = 15 ⋅ = 15 ⋅ 2926 = 43890∑
i=1
76
∑
i=1
76 76 ⋅ (76 + 1)
2
74i = 74 i = 74 ⋅ = 74 ⋅ 1596 = 118104∑
i=1
56
∑
i=1
56 56 ⋅ (56 + 1)
2
−67i = −67 i = −67 ⋅ = −67 ⋅ 2556 = −171252∑
i=1
71
∑
i=1
71 71 ⋅ (71 + 1)
2
−52i = −52 i = −52 ⋅ = −52 ⋅ 1653 = −85956∑
i=1
57
∑
i=1
57 57 ⋅ (57 + 1)
2
16i = 16 i = 16 ⋅ = 16 ⋅ 3240 = 51840∑
i=1
80
∑
i=1
80 80 ⋅ (80 + 1)
2
18i = 18 i = 18 ⋅ = 18 ⋅ 2556 = 46008∑
i=1
71
∑
i=1
71 71 ⋅ (71 + 1)
2
−5i = −5 i = −5 ⋅ = −5 ⋅ 1770 = −8850∑
i=1
59
∑
i=1
59 59 ⋅ (59 + 1)
2
−51i = −51 i = −51 ⋅ = −51 ⋅ 2701 = −137751∑
i=1
73
∑
i=1
73 73 ⋅ (73 + 1)
2
247).
248).
249).
250).
251).
252).
253).
254).
255).
256).
257).
258).
259).
−91i = −91 i = −91 ⋅ = −91 ⋅ 3003 = −273273∑
i=1
77
∑
i=1
77 77 ⋅ (77 + 1)
2
−91i = −91 i = −91 ⋅ = −91 ⋅ 1485 = −135135∑
i=1
54
∑
i=1
54 54 ⋅ (54 + 1)
2
8i = 8 i = 8 ⋅ = 8 ⋅ 3321 = 26568∑
i=1
81
∑
i=1
81 81 ⋅ (81 + 1)
2
−75i = −75 i = −75 ⋅ = −75 ⋅ 1711 = −128325∑
i=1
58
∑
i=1
58 58 ⋅ (58 + 1)
2
20i = 20 i = 20 ⋅ = 20 ⋅ 2080 = 41600∑
i=1
64
∑
i=1
64 64 ⋅ (64 + 1)
2
82i = 82 i = 82 ⋅ = 82 ⋅ 2080 = 170560∑
i=1
64
∑
i=1
64 64 ⋅ (64 + 1)
2
−79i = −79 i = −79 ⋅ = −79 ⋅ 4560 = −360240∑
i=1
95
∑
i=1
95 95 ⋅ (95 + 1)
2
−68i = −68 i = −68 ⋅ = −68 ⋅ 4851 = −329868∑
i=1
98
∑
i=1
98 98 ⋅ (98 + 1)
2
−53i = −53 i = −53 ⋅ = −53 ⋅ 5050 = −267650∑
i=1
100
∑
i=1
100 100 ⋅ (100 + 1)
2
−54i = −54 i = −54 ⋅ = −54 ⋅ 1770 = −95580∑
i=1
59
∑
i=1
59 59 ⋅ (59 + 1)
2
−35i = −35 i = −35 ⋅ = −35 ⋅ 1485 = −51975∑
i=1
54
∑
i=1
54 54 ⋅ (54 + 1)
2
−62i = −62 i = −62 ⋅ = −62 ⋅ 1770 = −109740∑
i=1
59
∑
i=1
59 59 ⋅ (59 + 1)
2
25i = 25 i = 25 ⋅ = 25 ⋅ 1596 = 39900∑
i=1
56
∑
i=1
56 56 ⋅ (56 + 1)
2
260).
261).
262).
263).
264).
265).
266).
267).
268).
269).
270).
271).
272).
−23i = −23 i = −23 ⋅ = −23 ⋅ 1891 = −43493∑
i=1
61
∑
i=1
61 61 ⋅ (61 + 1)
2
−24i = −24 i = −24 ⋅ = −24 ⋅ 3570 = −85680∑
i=1
84
∑
i=1
84 84 ⋅ (84 + 1)
2
−32i = −32 i = −32 ⋅ = −32 ⋅ 1540 = −49280∑
i=1
55
∑
i=1
55 55 ⋅ (55 + 1)
2
5i = 5 i = 5 ⋅ = 5 ⋅ 3160 = 15800∑
i=1
79
∑
i=1
79 79 ⋅ (79 + 1)
2
38i = 38 i = 38 ⋅ = 38 ⋅ 2926 = 111188∑
i=1
76
∑
i=1
76 76 ⋅ (76 + 1)
2
92i = 92 i = 92 ⋅ = 92 ⋅ 3486 = 320712∑
i=1
83
∑
i=1
83 83 ⋅ (83 + 1)
2
77i = 77 i = 77 ⋅ = 77 ⋅ 3486 = 268422∑
i=1
83
∑
i=1
83 83 ⋅ (83 + 1)
2
−13i = −13 i = −13 ⋅ = −13 ⋅ 2211 = −28743∑
i=1
66
∑
i=1
66 66 ⋅ (66 + 1)
2
−74i = −74 i = −74 ⋅ = −74 ⋅ 4656 = −344544∑
i=1
96
∑
i=1
96 96 ⋅ (96 + 1)
2
6i = 6 i = 6 ⋅ = 6 ⋅ 4851 = 29106∑
i=1
98
∑
i=1
98 98 ⋅ (98 + 1)
2
33i = 33 i = 33 ⋅ = 33 ⋅ 2775 = 91575∑
i=1
74
∑
i=1
74 74 ⋅ (74 + 1)
2
97i = 97 i = 97 ⋅ = 97 ⋅ 1431 = 138807∑
i=1
53
∑
i=1
53 53 ⋅ (53 + 1)
2
−13i = −13 i = −13 ⋅ = −13⋅ 3655 = −47515∑
i=1
85
∑
i=1
85 85 ⋅ (85 + 1)
2
273).
274).
275).
276).
277).
278).
279).
280).
281).
282).
283).
284).
285).
24i = 24 i = 24 ⋅ = 24 ⋅ 5151 = 123624∑
i=1
101
∑
i=1
101 101 ⋅ (101 + 1)
2
32i = 32 i = 32 ⋅ = 32 ⋅ 4465 = 142880∑
i=1
94
∑
i=1
94 94 ⋅ (94 + 1)
2
65i = 65 i = 65 ⋅ = 65 ⋅ 3160 = 205400∑
i=1
79
∑
i=1
79 79 ⋅ (79 + 1)
2
36i = 36 i = 36 ⋅ = 36 ⋅ 2080 = 74880∑
i=1
64
∑
i=1
64 64 ⋅ (64 + 1)
2
9i = 9 i = 9 ⋅ = 9 ⋅ 2850 = 25650∑
i=1
75
∑
i=1
75 75 ⋅ (75 + 1)
2
28i = 28 i = 28 ⋅ = 28 ⋅ 1596 = 44688∑
i=1
56
∑
i=1
56 56 ⋅ (56 + 1)
2
−96i = −96 i = −96 ⋅ = −96 ⋅ 2775 = −266400∑
i=1
74
∑
i=1
74 74 ⋅ (74 + 1)
2
48i = 48 i = 48 ⋅ = 48 ⋅ 3916 = 187968∑
i=1
88
∑
i=1
88 88 ⋅ (88 + 1)
2
50i = 50 i = 50 ⋅ = 50 ⋅ 1540 = 77000∑
i=1
55
∑
i=1
55 55 ⋅ (55 + 1)
2
47i = 47 i = 47 ⋅ = 47 ⋅ 4278 = 201066∑
i=1
92
∑
i=1
92 92 ⋅ (92 + 1)
2
94i = 94 i = 94 ⋅ = 94 ⋅ 2211 = 207834∑
i=1
66
∑
i=1
66 66 ⋅ (66 + 1)
2
45i = 45 i = 45 ⋅ = 45 ⋅ 3486 = 156870∑
i=1
83
∑
i=1
83 83 ⋅ (83 + 1)
2
99i = 99 i = 99 ⋅ = 99 ⋅ 4656 = 460944∑
i=1
96
∑
i=1
96 96 ⋅ (96 + 1)
2
286).
287).
288).
289).
290).
291).
292).
293).
294).
295).
296).
297).
298).
93i = 93 i = 93 ⋅ = 93 ⋅ 3160 = 293880∑
i=1
79
∑
i=1
79 79 ⋅ (79 + 1)
2
41i = 41 i = 41 ⋅ = 41 ⋅ 3321 = 136161∑
i=1
81
∑
i=1
81 81 ⋅ (81 + 1)
2
−90i = −90 i = −90 ⋅ = −90 ⋅ 2556 = −230040∑
i=1
71
∑
i=1
71 71 ⋅ (71 + 1)
2
−36i = −36 i = −36 ⋅ = −36 ⋅ 2415 = −86940∑
i=1
69
∑
i=1
69 69 ⋅ (69 + 1)
2
2i = 2 i = 2 ⋅ = 2 ⋅ 2278 = 4556∑
i=1
67
∑
i=1
67 67 ⋅ (67 + 1)
2
92i = 92 i = 92 ⋅ = 92 ⋅ 3570 = 328440∑
i=1
84
∑
i=1
84 84 ⋅ (84 + 1)
2
26i = 26 i = 26 ⋅ = 26 ⋅ 4656 = 121056∑
i=1
96
∑
i=1
96 96 ⋅ (96 + 1)
2
−72i = −72 i = −72 ⋅ = −72 ⋅ 3570 = −257040∑
i=1
84
∑
i=1
84 84 ⋅ (84 + 1)
2
−14i = −14 i = −14 ⋅ = −14 ⋅ 3741 = −52374∑
i=1
86
∑
i=1
86 86 ⋅ (86 + 1)
2
−91i = −91 i = −91 ⋅ = −91 ⋅ 4095 = −372645∑
i=1
90
∑
i=1
90 90 ⋅ (90 + 1)
2
−2i = −2 i = −2 ⋅ = −2 ⋅ 1485 = −2970∑
i=1
54
∑
i=1
54 54 ⋅ (54 + 1)
2
89i = 89 i = 89 ⋅ = 89 ⋅ 2701 = 240389∑
i=1
73
∑
i=1
73 73 ⋅ (73 + 1)
2
−90i = −90 i = −90 ⋅ = −90 ⋅ 3916 = −352440∑
i=1
88
∑
i=1
88 88 ⋅ (88 + 1)
2
299).
300).
301).
302).
303).
304).
305).
306).
307).
308).
309).
310).
311).
18i = 18 i = 18 ⋅ = 18 ⋅ 1770 = 31860∑
i=1
59
∑
i=1
59 59 ⋅ (59 + 1)
2
16i = 16 i = 16 ⋅ = 16 ⋅ 1275 = 20400∑
i=1
50
∑
i=1
50 50 ⋅ (50 + 1)
2
−20i = −20 i = −20 ⋅ = −20 ⋅ 4560 = −91200∑
i=1
95
∑
i=1
95 95 ⋅ (95 + 1)
2
−3i = −3 i = −3 ⋅ = −3 ⋅ 4005 = −12015∑
i=1
89
∑
i=1
89 89 ⋅ (89 + 1)
2
72i = 72 i = 72 ⋅ = 72 ⋅ 3321 = 239112∑
i=1
81
∑
i=1
81 81 ⋅ (81 + 1)
2
29i = 29 i = 29 ⋅ = 29 ⋅ 2485 = 72065∑
i=1
70
∑
i=1
70 70 ⋅ (70 + 1)
2
−9i = −9 i = −9 ⋅ = −9 ⋅ 2415 = −21735∑
i=1
69
∑
i=1
69 69 ⋅ (69 + 1)
2
−67i = −67 i = −67 ⋅ = −67 ⋅ 2278 = −152626∑
i=1
67
∑
i=1
67 67 ⋅ (67 + 1)
2
−99i = −99 i = −99 ⋅ = −99 ⋅ 2346 = −232254∑
i=1
68
∑
i=1
68 68 ⋅ (68 + 1)
2
−22i = −22 i = −22 ⋅ = −22 ⋅ 4950 = −108900∑
i=1
99
∑
i=1
99 99 ⋅ (99 + 1)
2
−30i = −30 i = −30 ⋅ = −30 ⋅ 5151 = −154530∑
i=1
101
∑
i=1
101 101 ⋅ (101 + 1)
2
−63i = −63 i = −63 ⋅ = −63 ⋅ 1275 = −80325∑
i=1
50
∑
i=1
50 50 ⋅ (50 + 1)
2
−8i = −8 i = −8 ⋅ = −8 ⋅ 2628 = −21024∑
i=1
72
∑
i=1
72 72 ⋅ (72 + 1)
2
312).
313).
314).
315).
316).
317).
318).
319).
320).
321).
322).
323).
324).
96i = 96 i = 96 ⋅ = 96 ⋅ 4465 = 428640∑
i=1
94
∑
i=1
94 94 ⋅ (94 + 1)
2
89i = 89 i = 89 ⋅ = 89 ⋅ 4560 = 405840∑
i=1
95
∑
i=1
95 95 ⋅ (95 + 1)
2
−81i = −81 i = −81 ⋅ = −81 ⋅ 4465 = −361665∑
i=1
94
∑
i=1
94 94 ⋅ (94 + 1)
2
−72i = −72 i = −72 ⋅ = −72 ⋅ 2346 = −168912∑
i=1
68
∑
i=1
68 68 ⋅ (68 + 1)
2
47i = 47 i = 47 ⋅ = 47 ⋅ 2628 = 123516∑
i=1
72
∑
i=1
72 72 ⋅ (72 + 1)
2
−56i = −56 i = −56 ⋅ = −56 ⋅ 4851 = −271656∑
i=1
98
∑
i=1
98 98 ⋅ (98 + 1)
2
−90i = −90 i = −90 ⋅ = −90 ⋅ 1830 = −164700∑
i=1
60
∑
i=1
60 60 ⋅ (60 + 1)
2
57i = 57 i = 57 ⋅ = 57 ⋅ 5050 = 287850∑
i=1
100
∑
i=1
100 100 ⋅ (100 + 1)
2
−93i = −93 i = −93 ⋅ = −93 ⋅ 4656 = −433008∑
i=1
96
∑
i=1
96 96 ⋅ (96 + 1)
2
58i = 58 i = 58 ⋅ = 58 ⋅ 3570 = 207060∑
i=1
84
∑
i=1
84 84 ⋅ (84 + 1)
2
92i = 92 i = 92 ⋅ = 92 ⋅ 2701 = 248492∑
i=1
73
∑
i=1
73 73 ⋅ (73 + 1)
2
−12i = −12 i = −12 ⋅ = −12 ⋅ 4278 = −51336∑
i=1
92
∑
i=1
92 92 ⋅ (92 + 1)
2
−17i = −17 i = −17 ⋅ = −17 ⋅ 4371 = −74307∑
i=1
93
∑
i=1
93 93 ⋅ (93 + 1)
2
325).
326).
327).
328).
329).
330).
331).
332).
333).
334).
335).
336).
337).
−68i = −68 i = −68 ⋅ = −68 ⋅ 3741 = −254388∑
i=1
86
∑
i=1
86 86 ⋅ (86 + 1)
2
82i = 82 i = 82 ⋅ = 82 ⋅ 3655 = 299710∑
i=1
85
∑
i=1
85 85 ⋅ (85 + 1)
2
83i = 83 i = 83 ⋅ = 83 ⋅ 1378 = 114374∑
i=1
52
∑
i=1
52 52 ⋅ (52 + 1)
2
13i = 13 i = 13 ⋅ = 13 ⋅ 2850 = 37050∑
i=1
75
∑
i=1
75 75 ⋅ (75 + 1)
2
3i = 3 i = 3 ⋅ = 3 ⋅ 1485 = 4455∑
i=1
54
∑
i=1
54 54 ⋅ (54 + 1)
2
21i = 21 i = 21 ⋅ = 21 ⋅ 4095 = 85995∑
i=1
90
∑
i=1
90 90 ⋅ (90 + 1)
2
90i = 90 i = 90 ⋅ = 90 ⋅ 4656 = 419040∑
i=1
96
∑
i=1
96 96 ⋅ (96 + 1)
2
47i = 47 i = 47 ⋅ = 47 ⋅ 3403 = 159941∑
i=1
82
∑
i=1
82 82 ⋅ (82 + 1)
2
28i = 28 i = 28 ⋅ = 28 ⋅ 2556 = 71568∑
i=1
71
∑
i=1
71 71 ⋅ (71 + 1)
2
−38i = −38 i = −38 ⋅ = −38 ⋅ 1596 = −60648∑
i=1
56
∑
i=1
56 56 ⋅ (56 + 1)
2
−14i = −14 i = −14 ⋅ = −14 ⋅ 4371 = −61194∑
i=1
93
∑
i=1
93 93 ⋅ (93 + 1)
2
−94i = −94 i = −94 ⋅ = −94 ⋅ 3003 = −282282∑
i=1
77
∑
i=1
77 77 ⋅ (77 + 1)
2
−70i = −70 i = −70 ⋅ = −70 ⋅ 1596 = −111720∑
i=1
56
∑
i=1
56 56 ⋅ (56 + 1)
2
338).
339).
340).
341).
342).
343).
344).
345).
346).
347).
348).
349).
350).
−71i = −71 i = −71 ⋅ = −71 ⋅ 2701 = −191771∑
i=1
73
∑
i=1
73 73 ⋅ (73 + 1)
2
21i = 21 i = 21 ⋅ = 21 ⋅ 2850 = 59850∑
i=1
75
∑
i=1
75 75 ⋅ (75 + 1)
2
−14i = −14 i = −14 ⋅ = −14 ⋅ 3081 = −43134∑
i=1
78
∑
i=1
78 78 ⋅ (78 + 1)
2
−72i = −72 i = −72 ⋅ = −72 ⋅ 1711 = −123192∑
i=1
58
∑
i=1
58 58 ⋅ (58 + 1)
2
−17i = −17 i = −17 ⋅ = −17 ⋅ 4278 = −72726∑
i=1
92
∑
i=1
92 92 ⋅ (92 + 1)
2
26i = 26 i = 26 ⋅ = 26 ⋅ 2016 = 52416∑
i=1
63
∑
i=1
63 63 ⋅ (63 + 1)
2
−77i = −77 i = −77 ⋅ = −77 ⋅ 1953 = −150381∑
i=1
62
∑
i=1
62 62 ⋅ (62 + 1)
2
−79i = −79 i = −79 ⋅ = −79 ⋅ 5151 = −406929∑
i=1
101
∑
i=1
101 101 ⋅ (101 + 1)
2
100i = 100 i = 100 ⋅ = 100 ⋅ 4753 = 475300∑
i=1
97
∑
i=1
97 97 ⋅ (97 + 1)
2
−21i = −21 i = −21 ⋅ = −21 ⋅ 2211 = −46431∑
i=1
66
∑
i=1
66 66 ⋅ (66 + 1)
2
−67i = −67 i = −67 ⋅ = −67 ⋅ 4656 = −311952∑
i=1
96
∑
i=1
96 96 ⋅ (96 + 1)
2
44i = 44 i = 44 ⋅ = 44 ⋅ 1540 = 67760∑
i=1
55
∑
i=1
55 55 ⋅ (55 + 1)
2
82i = 82 i = 82 ⋅ = 82 ⋅ 1485 = 121770∑
i=1
54
∑
i=1
54 54 ⋅ (54 + 1)
2
351).
352).
353).
354).
355).
356).
357).
358).
359).
360).
361).
362).
363).
−73i = −73 i = −73 ⋅ = −73 ⋅ 2278 = −166294∑
i=1
67
∑
i=1
67 67 ⋅ (67 + 1)
2
−65i = −65 i = −65 ⋅ = −65 ⋅ 1653 = −107445∑
i=1
57
∑
i=1
57 57 ⋅ (57 + 1)
2
−32i = −32 i = −32 ⋅ = −32 ⋅ 1326 = −42432∑
i=1
51
∑
i=1
51 51 ⋅ (51 + 1)
2
76i = 76 i = 76 ⋅ = 76 ⋅ 1711 = 130036∑
i=1
58
∑
i=1
58 58 ⋅ (58 + 1)
2
41i = 41 i = 41 ⋅ = 41 ⋅ 4753 = 194873∑
i=1
97
∑
i=1
97 97 ⋅ (97 + 1)
2
7i = 7 i = 7 ⋅ = 7 ⋅ 2346 = 16422∑
i=1
68
∑
i=1
68 68 ⋅ (68 + 1)
2
91i = 91 i = 91 ⋅ = 91 ⋅ 3741 = 340431∑
i=1
86
∑
i=1
86 86 ⋅ (86 + 1)
2
58i = 58 i = 58 ⋅ = 58 ⋅ 3160 = 183280∑
i=1
79
∑
i=1
79 79 ⋅ (79 + 1)
2
83i = 83 i = 83 ⋅ = 83 ⋅ 4278 = 355074∑
i=1
92
∑
i=1
92 92 ⋅ (92 + 1)
2
−24i = −24 i = −24 ⋅ = −24 ⋅ 2211 = −53064∑
i=1
66
∑
i=1
66 66 ⋅ (66 + 1)
2
47i = 47 i = 47 ⋅ = 47 ⋅ 2016 = 94752∑
i=1
63
∑
i=1
63 63 ⋅ (63 + 1)
2
−9i = −9 i = −9 ⋅ = −9 ⋅ 1275 = −11475∑
i=1
50
∑
i=1
50 50 ⋅ (50 + 1)
2
−10i = −10 i = −10 ⋅ = −10 ⋅ 1953 = −19530∑
i=1
62
∑
i=1
62 62 ⋅ (62 + 1)
2
364).
365).
366).
367).
368).
369).
370).
371).
372).
373).
374).
375).
376).
−80i = −80 i = −80 ⋅ = −80 ⋅ 1275 = −102000∑
i=1
50
∑
i=1
50 50 ⋅ (50 + 1)
281i = 81 i = 81 ⋅ = 81 ⋅ 4095 = 331695∑
i=1
90
∑
i=1
90 90 ⋅ (90 + 1)
2
−42i = −42 i = −42 ⋅ = −42 ⋅ 4950 = −207900∑
i=1
99
∑
i=1
99 99 ⋅ (99 + 1)
2
92i = 92 i = 92 ⋅ = 92 ⋅ 4851 = 446292∑
i=1
98
∑
i=1
98 98 ⋅ (98 + 1)
2
−67i = −67 i = −67 ⋅ = −67 ⋅ 3240 = −217080∑
i=1
80
∑
i=1
80 80 ⋅ (80 + 1)
2
90i = 90 i = 90 ⋅ = 90 ⋅ 2278 = 205020∑
i=1
67
∑
i=1
67 67 ⋅ (67 + 1)
2
−18i = −18 i = −18 ⋅ = −18 ⋅ 3160 = −56880∑
i=1
79
∑
i=1
79 79 ⋅ (79 + 1)
2
16i = 16 i = 16 ⋅ = 16 ⋅ 4278 = 68448∑
i=1
92
∑
i=1
92 92 ⋅ (92 + 1)
2
−90i = −90 i = −90 ⋅ = −90 ⋅ 2556 = −230040∑
i=1
71
∑
i=1
71 71 ⋅ (71 + 1)
2
47i = 47 i = 47 ⋅ = 47 ⋅ 2926 = 137522∑
i=1
76
∑
i=1
76 76 ⋅ (76 + 1)
2
67i = 67 i = 67 ⋅ = 67 ⋅ 3081 = 206427∑
i=1
78
∑
i=1
78 78 ⋅ (78 + 1)
2
66i = 66 i = 66 ⋅ = 66 ⋅ 3486 = 230076∑
i=1
83
∑
i=1
83 83 ⋅ (83 + 1)
2
−84i = −84 i = −84 ⋅ = −84 ⋅ 3081 = −258804∑
i=1
78
∑
i=1
78 78 ⋅ (78 + 1)
2
377).
378).
379).
380).
381).
382).
383).
384).
385).
386).
387).
388).
389).
−8i = −8 i = −8 ⋅ = −8 ⋅ 1770 = −14160∑
i=1
59
∑
i=1
59 59 ⋅ (59 + 1)
2
31i = 31 i = 31 ⋅ = 31 ⋅ 5050 = 156550∑
i=1
100
∑
i=1
100 100 ⋅ (100 + 1)
2
−i = − i = − = −5050∑
i=1
100
∑
i=1
100 100 ⋅ (100 + 1)
2
12i = 12 i = 12 ⋅ = 12 ⋅ 1891 = 22692∑
i=1
61
∑
i=1
61 61 ⋅ (61 + 1)
2
−31i = −31 i = −31 ⋅ = −31 ⋅ 3655 = −113305∑
i=1
85
∑
i=1
85 85 ⋅ (85 + 1)
2
97i = 97 i = 97 ⋅ = 97 ⋅ 3003 = 291291∑
i=1
77
∑
i=1
77 77 ⋅ (77 + 1)
2
94i = 94 i = 94 ⋅ = 94 ⋅ 2346 = 220524∑
i=1
68
∑
i=1
68 68 ⋅ (68 + 1)
2
25i = 25 i = 25 ⋅ = 25 ⋅ 3828 = 95700∑
i=1
87
∑
i=1
87 87 ⋅ (87 + 1)
2
44i = 44 i = 44 ⋅ = 44 ⋅ 3160 = 139040∑
i=1
79
∑
i=1
79 79 ⋅ (79 + 1)
2
−89i = −89 i = −89 ⋅ = −89 ⋅ 4753 = −423017∑
i=1
97
∑
i=1
97 97 ⋅ (97 + 1)
2
−73i = −73 i = −73 ⋅ = −73 ⋅ 5151 = −376023∑
i=1
101
∑
i=1
101 101 ⋅ (101 + 1)
2
11i = 11 i = 11 ⋅ = 11 ⋅ 2926 = 32186∑
i=1
76
∑
i=1
76 76 ⋅ (76 + 1)
2
−11i = −11 i = −11 ⋅ = −11 ⋅ 2701 = −29711∑
i=1
73
∑
i=1
73 73 ⋅ (73 + 1)
2
390).
391).
392).
393).
394).
395).
396).
397).
398).
399).
400).
54i = 54 i = 54 ⋅ = 54 ⋅ 2145 = 115830∑
i=1
65
∑
i=1
65 65 ⋅ (65 + 1)
2
23i = 23 i = 23 ⋅ = 23 ⋅ 3081 = 70863∑
i=1
78
∑
i=1
78 78 ⋅ (78 + 1)
2
−85i = −85 i = −85 ⋅ = −85 ⋅ 1485 = −126225∑
i=1
54
∑
i=1
54 54 ⋅ (54 + 1)
2
40i = 40 i = 40 ⋅ = 40 ⋅ 5050 = 202000∑
i=1
100
∑
i=1
100 100 ⋅ (100 + 1)
2
−71i = −71 i = −71 ⋅ = −71 ⋅ 4656 = −330576∑
i=1
96
∑
i=1
96 96 ⋅ (96 + 1)
2
−77i = −77 i = −77 ⋅ = −77 ⋅ 1275 = −98175∑
i=1
50
∑
i=1
50 50 ⋅ (50 + 1)
2
63i = 63 i = 63 ⋅ = 63 ⋅ 3160 = 199080∑
i=1
79
∑
i=1
79 79 ⋅ (79 + 1)
2
59i = 59 i = 59 ⋅ = 59 ⋅ 1540 = 90860∑
i=1
55
∑
i=1
55 55 ⋅ (55 + 1)
2
−36i = −36 i = −36 ⋅ = −36 ⋅ 1378 = −49608∑
i=1
52
∑
i=1
52 52 ⋅ (52 + 1)
2
−77i = −77 i = −77 ⋅ = −77 ⋅ 3916 = −301532∑
i=1
88
∑
i=1
88 88 ⋅ (88 + 1)
2
67i = 67 i = 67 ⋅ = 67 ⋅ 1596 = 106932∑
i=1
56
∑
i=1
56 56 ⋅ (56 + 1)
2