Question

Given the following summation is there a way to combine given the following orientation?

score 27 · Answer 1 · 2026-03-25 11:14:57

27

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Given the following summation is there a way to combine given the following orientation?

Published on 25 Mar 2026 - 11:14

score 50 · Answer 2 · 2026-03-25 12:46:23

50

Views

Theoretical Procedure for Power Series Equation:

Published on 25 Mar 2026 - 12:46

score 50 · Answer 3 · 2026-04-12 16:44:29

50

Views

Evaluating $\sum_{n=0}^\infty n^2 x^n $ by splitting it into two summations?

Published on 12 Apr 2026 - 16:44

score 29 · Answer 4 · 2026-04-17 00:48:56

29

Views

summation, any similar function

Published on 17 Apr 2026 - 0:48

score 494 · Answer 5 · 2026-04-15 23:09:31

494

Views

Evaluate $\sum_{n,k} \binom{n}{k}^{-1} $

Published on 15 Apr 2026 - 23:09

score 40 · Answer 6 · 2026-04-13 22:55:18

40

Views

How to equate the coefficients of $t^n/n!$ in the following equation?

Published on 13 Apr 2026 - 22:55

score 120 · Answer 7 · 2026-04-16 01:38:26

120

Views

radius of convergence of a given series

Published on 16 Apr 2026 - 1:38

score 64 · Answer 8 · 2026-04-17 15:30:01

64

Views

Why does $\sum_{i=1}^{n-1} {n-1 \choose i} {m+1 \choose i+1} = \frac{(m+n)!}{m!n!}$

Published on 17 Apr 2026 - 15:30

score 442 · Answer 9 · 2026-05-11 02:53:11

442

Views

Sum of finite series using partial fraction

Published on 11 May 2026 - 2:53

score 53 · Answer 10 · 2026-04-15 04:03:42

53

Views

if summation of $i$ is $(n(n+1))/2$ what happens when you change the range?

Published on 15 Apr 2026 - 4:03

score 104 · Answer 11 · 2026-04-16 18:21:04

104

Views

How to find the sum of $\frac{1}{(1)(3)} + \frac{2}{(1)(3)(5)} +\frac{3}{(1)(3)(5)(7)} +\cdots$ up to n terms

Published on 16 Apr 2026 - 18:21

score 151 · Answer 12 · 2026-04-17 07:35:31

151

Views

Choosing one of each letter from a string of repeated "ABCD"s such that it is in order of "ABCD"

Published on 17 Apr 2026 - 7:35

score 76 · Answer 13 · 2026-04-14 11:13:15

76

Views

Closed form for $\sum_{k=1}^{n} \frac{k}{1.4.7.10\ldots(3k-2)}$

Published on 14 Apr 2026 - 11:13

score 44 · Answer 14 · 2026-04-13 02:09:34

44

Views

Equality involving binomial coefficient in a integral

Published on 13 Apr 2026 - 2:09

score 162 · Answer 15 · 2026-05-11 01:12:55

162

Views

Prove the following inequality $\sum_{i<j<k}\frac{a_ia_ja_k}{(n-2)(n-1)n}\le \bigg(\sum_{i<j}\frac{a_ia_j}{(n-1)n}\bigg)^2+\frac{1}{12}$

Published on 11 May 2026 - 1:12

List Question

Given the following summation is there a way to combine given the following orientation?

Theoretical Procedure for Power Series Equation:

Evaluating $\sum_{n=0}^\infty n^2 x^n $ by splitting it into two summations?

summation, any similar function

Evaluate $\sum_{n,k} \binom{n}{k}^{-1} $

How to equate the coefficients of $t^n/n!$ in the following equation?

radius of convergence of a given series

Why does $\sum_{i=1}^{n-1} {n-1 \choose i} {m+1 \choose i+1} = \frac{(m+n)!}{m!n!}$

Sum of finite series using partial fraction

if summation of $i$ is $(n(n+1))/2$ what happens when you change the range?

How to find the sum of $\frac{1}{(1)(3)} + \frac{2}{(1)(3)(5)} +\frac{3}{(1)(3)(5)(7)} +\cdots$ up to n terms

Choosing one of each letter from a string of repeated "ABCD"s such that it is in order of "ABCD"

Closed form for $\sum_{k=1}^{n} \frac{k}{1.4.7.10\ldots(3k-2)}$

Equality involving binomial coefficient in a integral

Prove the following inequality $\sum_{i<j<k}\frac{a_ia_ja_k}{(n-2)(n-1)n}\le \bigg(\sum_{i<j}\frac{a_ia_j}{(n-1)n}\bigg)^2+\frac{1}{12}$

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