List questions from summation

Published on 10 Apr 2026 - 6:34

451

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Patterns in $(a+b+c+....+z)^n$

Published on 14 Apr 2026 - 9:09

119

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On the asymptotics of $\sum_{k=1}^{n^2} \{\sqrt{k}\} $

Published on 25 Mar 2026 - 15:53

157

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what is the value of $\binom{n}{1}+\binom{n}{4}+\binom{n}{7}+\binom{n}{10}+\binom{n}{13}+\dots$

Published on 26 Mar 2026 - 0:53

59

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Prove that if $4k+1$ is a prime number than for every $n \in \mathbb{N}$ $\sum\limits_{j=1}^{2k}{j^{4n+2}}$ is a multiple of $4k+1$

Published on 15 Apr 2026 - 5:27

64

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Sum $\sum_{i=1}^\infty \frac{2}{(2i +1)(2i+3)}$

Published on 15 Apr 2026 - 7:47

80

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Series expression by using Puiseux series

Published on 12 Apr 2026 - 22:52

42

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Complex Summation Notation Question

Published on 05 May 2026 - 21:22

116

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A summation equation

Published on 08 Apr 2026 - 7:21

111

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Prove that for every $n \in \mathbb{N}$ $\sum\limits_{k=2}^{n}{\frac{1}{k^2}}<1$

Published on 14 Apr 2026 - 15:23

41

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Alternate harmonic series

Published on 13 Apr 2026 - 10:21

124

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Proof explaination - $\sum_{i=1}^{n} \frac{1}{i}$ is not an integer for $n>1$

Published on 15 Apr 2026 - 0:42

43

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Need help in proving an inequality related to logarithms

Published on 11 Apr 2026 - 14:08

93

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Can sum of even power ever equal to even power?

Published on 12 Apr 2026 - 3:30

48

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how to change where the limits start

Published on 10 Apr 2026 - 0:13

List Question

Sum of Sine function of squared angle

Patterns in $(a+b+c+....+z)^n$

On the asymptotics of $\sum_{k=1}^{n^2} \{\sqrt{k}\} $

what is the value of $\binom{n}{1}+\binom{n}{4}+\binom{n}{7}+\binom{n}{10}+\binom{n}{13}+\dots$

Prove that if $4k+1$ is a prime number than for every $n \in \mathbb{N}$ $\sum\limits_{j=1}^{2k}{j^{4n+2}}$ is a multiple of $4k+1$

Sum $\sum_{i=1}^\infty \frac{2}{(2i +1)(2i+3)}$

Series expression by using Puiseux series

Complex Summation Notation Question

A summation equation

Prove that for every $n \in \mathbb{N}$ $\sum\limits_{k=2}^{n}{\frac{1}{k^2}}<1$

Alternate harmonic series

Proof explaination - $\sum_{i=1}^{n} \frac{1}{i}$ is not an integer for $n>1$

Need help in proving an inequality related to logarithms

Can sum of even power ever equal to even power?

how to change where the limits start

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