List questions from summation

Published on 09 Apr 2026 - 20:03

159

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How can I prove that $16 \lt {1+\frac1{\sqrt2}+\frac1{\sqrt3}+\cdots+\frac1{\sqrt{80}}<18}$?

Published on 14 Apr 2026 - 20:37

93

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Infinite sums involving factorials

Published on 16 Apr 2026 - 21:40

364

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Validity of Proof of Sum of First $n$ Natural Numbers

Published on 15 Apr 2026 - 6:50

66

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Finding the summation of $c_i$ for $c_i=\begin{cases}i &\quad\text{if $i-1$ is exact power of $2$ }\\1&\quad\text{otherwise.}\\ \end{cases}$

Published on 14 Apr 2026 - 8:06

79

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Analytical continuations of partial sums

Published on 25 Mar 2026 - 19:02

162

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How to find the sum of this series? is there any simple way?

Published on 11 May 2026 - 7:52

50

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How can a factor in front of a sum sign be integrated into the sum sign?

Published on 14 Apr 2026 - 9:52

66

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Evaluate $\displaystyle\sum_{r=0}^8 (-1)^r \binom{20}{r} \binom{20}{8-r}$

Published on 17 Apr 2026 - 5:26

85

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Sigma index (Induction)

Published on 21 Apr 2026 - 22:07

138

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Bayes interpretation of regularization in linear regression

Published on 11 May 2026 - 2:42

315

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Help in simplifying combinatorial sum $\frac{n!}{(n-k)!}-{1\over(n-k)!}{\sum _{m=1}^{k-1} (-1)^{m+1} (n-m)! S(k,k-m)}$

Published on 27 Mar 2026 - 4:21

673

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Given i+j+k=n, find sum of all possible ijk

Published on 14 Apr 2026 - 16:28

129

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Evaluate in closed form: $\sum_{n=0}^{\infty} \frac{x^{2^n}}{1-x^{2^{n+1}}}$

Published on 17 Apr 2026 - 11:57

68

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Find The sum of all number in $\mathrm{S}$ is?

Published on 29 Apr 2026 - 1:00

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Is this change legal?

How can I prove that $16 \lt {1+\frac1{\sqrt2}+\frac1{\sqrt3}+\cdots+\frac1{\sqrt{80}}<18}$?

Infinite sums involving factorials

Validity of Proof of Sum of First $n$ Natural Numbers

Finding the summation of $c_i$ for $c_i=\begin{cases}i &\quad\text{if $i-1$ is exact power of $2$ }\\1&\quad\text{otherwise.}\\ \end{cases}$

Analytical continuations of partial sums

How to find the sum of this series? is there any simple way?

How can a factor in front of a sum sign be integrated into the sum sign?

Evaluate $\displaystyle\sum_{r=0}^8 (-1)^r \binom{20}{r} \binom{20}{8-r}$

Sigma index (Induction)

Bayes interpretation of regularization in linear regression

Help in simplifying combinatorial sum $\frac{n!}{(n-k)!}-{1\over(n-k)!}{\sum _{m=1}^{k-1} (-1)^{m+1} (n-m)! S(k,k-m)}$

Given i+j+k=n, find sum of all possible ijk

Evaluate in closed form: $\sum_{n=0}^{\infty} \frac{x^{2^n}}{1-x^{2^{n+1}}}$

Find The sum of all number in $\mathrm{S}$ is?

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