Question

Sum of geometric series when exponent is $2n$, not $n$?

score 1k · Answer 1 · 2026-04-12 16:36:47

1k

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Sum of geometric series when exponent is $2n$, not $n$?

Published on 12 Apr 2026 - 16:36

score 207 · Answer 2 · 2026-05-01 04:26:52

207

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A double sum identity for Catalan constant

Published on 01 May 2026 - 4:26

score 161 · Answer 3 · 2026-05-10 08:54:00

161

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How to change order of sum?

Published on 10 May 2026 - 8:54

score 273 · Answer 4 · 2026-04-15 18:07:31

273

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Closed form expression for $\sum\limits_{k=0}^{\infty}\frac{k4^k}{n+k}{n+k\choose n-k}{n\choose k}{2n\choose 2k}^{-1}$

Published on 15 Apr 2026 - 18:07

score 747 · Answer 5 · 2026-05-10 21:58:38

747

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Summation of $\sum_{n=0}^{\infty}a^nq^{n^2}$

Published on 10 May 2026 - 21:58

score 76 · Answer 6 · 2026-04-15 16:04:47

76

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Sum of squares of binomial coefficient with slight modification

Published on 15 Apr 2026 - 16:04

score 443 · Answer 7 · 2026-04-16 18:51:08

443

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Does parity matter for $\lim_{n\to \infty}\left(\ln 2 -\left(-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\cdots -\frac{(-1)^n}{n}\right)\right)^n =\sqrt{e}$?

Published on 16 Apr 2026 - 18:51

score 351 · Answer 8 · 2026-04-25 06:39:19

351

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Pi notation under a sigma

Published on 25 Apr 2026 - 6:39

score 123 · Answer 9 · 2026-04-11 19:59:34

123

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Determining the closed form of $\sum\limits_{r = 2}^n \binom{n}{r} \binom{r}{2}$

Published on 11 Apr 2026 - 19:59

score 83 · Answer 10 · 2026-04-14 07:58:39

83

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Proving binomial sum using mathematical induction

Published on 14 Apr 2026 - 7:58

score 77 · Answer 11 · 2026-04-26 00:13:01

77

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Doubt about how to compute $\sum_{n=1}^{2019}{\frac{1+2+3+4...+n}{1^3+2^3+3^3...+2019^3}}$

Published on 26 Apr 2026 - 0:13

score 63 · Answer 12 · 2026-04-15 21:15:46

63

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Prove the trigonometric inequality involving a finite sum.

Published on 15 Apr 2026 - 21:15

score 46 · Answer 13 · 2026-04-12 22:00:51

46

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How to perform an index shift on $\sum_{n\geq 2}(n+1)z^n$

Published on 12 Apr 2026 - 22:00

score 212 · Answer 14 · 2026-04-13 16:57:14

212

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Bound for $\sum_{k=0}^{n}(-1)^k{3n\choose k}{n\choose k}$.

Published on 13 Apr 2026 - 16:57

score 88 · Answer 15 · 2026-05-14 17:56:51

88

Views

prove formula by induction

Published on 14 May 2026 - 17:56

List Question

Sum of geometric series when exponent is $2n$, not $n$?

A double sum identity for Catalan constant

How to change order of sum?

Closed form expression for $\sum\limits_{k=0}^{\infty}\frac{k4^k}{n+k}{n+k\choose n-k}{n\choose k}{2n\choose 2k}^{-1}$

Summation of $\sum_{n=0}^{\infty}a^nq^{n^2}$

Sum of squares of binomial coefficient with slight modification

Does parity matter for $\lim_{n\to \infty}\left(\ln 2 -\left(-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\cdots -\frac{(-1)^n}{n}\right)\right)^n =\sqrt{e}$?

Pi notation under a sigma

Determining the closed form of $\sum\limits_{r = 2}^n \binom{n}{r} \binom{r}{2}$

Proving binomial sum using mathematical induction

Doubt about how to compute $\sum_{n=1}^{2019}{\frac{1+2+3+4...+n}{1^3+2^3+3^3...+2019^3}}$

Prove the trigonometric inequality involving a finite sum.

How to perform an index shift on $\sum_{n\geq 2}(n+1)z^n$

Bound for $\sum_{k=0}^{n}(-1)^k{3n\choose k}{n\choose k}$.

prove formula by induction

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