Question

How should I solve this summation problem?

score 71 · Answer 1 · 2026-04-10 09:39:22

71

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How should I solve this summation problem?

Published on 10 Apr 2026 - 9:39

score 5.3k · Answer 2 · 2026-04-11 18:07:07

5.3k

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Find a closed form for $\sum_{k=0}^{n} k^3$

Published on 11 Apr 2026 - 18:07

score 34 · Answer 3 · 2014-06-09 04:39:51

34

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$\sum^{\infty}_{n=1} \log(\frac{n+a+b}{n+a} \times \frac{n+b}{n+b+1})$

Published on 09 Jun 2014 - 4:39

score 87 · Answer 4 · 2014-06-09 06:55:14

87

Views

Find the set of convergence $\sum_{n=1}^{\infty} \frac{1+x^n}{1-x^n}$

Published on 09 Jun 2014 - 6:55

score 77 · Answer 5 · 2014-06-09 07:00:36

77

Views

Prove that $\sum_{k=-\infty}^\infty e^{-j2\pi f k T}=\sum_{k=-\infty}^\infty\delta(f-\frac{k}{T})$

Published on 09 Jun 2014 - 7:00

score 68 · Answer 6 · 2026-04-03 13:41:16

68

Views

How find this sum $\sum_{j=0}^{\infty}\binom{m+2j}{m}t^{2j},0<t<1$

Published on 03 Apr 2026 - 13:41

score 191 · Answer 7 · 2014-06-09 12:15:41

191

Views

Prove the sum $\sum_{n=1}^\infty \frac{\arctan{n}}{n}$ diverges.

Published on 09 Jun 2014 - 12:15

score 132 · Answer 8 · 2026-04-12 20:10:13

132

Views

Proving a trigonometric identity by infinite series

Published on 12 Apr 2026 - 20:10

score 836 · Answer 9 · 2014-06-09 23:49:54

836

Views

Show $\sum_{k=1}^{\infty}\left(\frac{1+\sin(k)}{2}\right)^k$ diverges

Published on 09 Jun 2014 - 23:49

score 31 · Answer 10 · 2014-06-10 01:43:30

Converting proofs about finite or 'nice' sums to proofs over less nice sets. (Or: Converting marginal probability proofs to arbitrary event spaces)

score 138 · Answer 11 · 2026-04-13 11:27:13

138

Views

A frightening sum

Published on 13 Apr 2026 - 11:27

score 250 · Answer 12 · 2026-03-27 17:57:47

250

Views

Factorial identity $n!=1+(1-1/1!)n+(1-1/1!+1/2!)n(n-1)+\cdots$

Published on 27 Mar 2026 - 17:57

score 2.7k · Answer 13 · 2014-06-10 16:46:20

2.7k

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Sum a series of series where each value increments by one

Published on 10 Jun 2014 - 16:46

score 89 · Answer 14 · 2026-04-11 21:23:25

89

Views

Generalize the number of total overall hops possible in a line network

Published on 11 Apr 2026 - 21:23

score 63 · Answer 15 · 2026-04-10 02:56:13

63

Views

Question about factorial function

Published on 10 Apr 2026 - 2:56

List Question

How should I solve this summation problem?

Find a closed form for $\sum_{k=0}^{n} k^3$

$\sum^{\infty}_{n=1} \log(\frac{n+a+b}{n+a} \times \frac{n+b}{n+b+1})$

Find the set of convergence $\sum_{n=1}^{\infty} \frac{1+x^n}{1-x^n}$

Prove that $\sum_{k=-\infty}^\infty e^{-j2\pi f k T}=\sum_{k=-\infty}^\infty\delta(f-\frac{k}{T})$

How find this sum $\sum_{j=0}^{\infty}\binom{m+2j}{m}t^{2j},0<t<1$

Prove the sum $\sum_{n=1}^\infty \frac{\arctan{n}}{n}$ diverges.

Proving a trigonometric identity by infinite series

Show $\sum_{k=1}^{\infty}\left(\frac{1+\sin(k)}{2}\right)^k$ diverges

Converting proofs about finite or 'nice' sums to proofs over less nice sets. (Or: Converting marginal probability proofs to arbitrary event spaces)

A frightening sum

Factorial identity $n!=1+(1-1/1!)n+(1-1/1!+1/2!)n(n-1)+\cdots$

Sum a series of series where each value increments by one

Generalize the number of total overall hops possible in a line network

Question about factorial function

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