List questions from summation

Published on 17 Apr 2026 - 12:25

160

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Double Summation indexes problem

Published on 26 Apr 2026 - 14:54

124

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Tetration: Summation of ${1 \over{}^{n}2}$

Published on 01 Apr 2026 - 15:48

52

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Infinite sum and convergence

Published on 14 Apr 2026 - 3:26

47

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If $F(n)$ is the unique number of arranging $n \ge 1$ unique items, prove inductively that $F(n) = n!$

Published on 17 Apr 2026 - 5:59

55

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Double Series Identity

Published on 11 Apr 2026 - 2:36

92

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Complex numbers algebra problem involving cyclic summation

Published on 10 Apr 2026 - 10:18

56

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Why is $\sum_{i=1}^n\frac n{n-i+1}=n\sum_{i=1}^n\frac1i$?

Published on 09 Apr 2026 - 18:04

155

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Summation of rational complex function

Published on 26 Mar 2026 - 23:09

444

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Sum of all divisors of the first $n$ positive integers.

Published on 15 Apr 2026 - 7:46

45

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How would I prove $|a_n−a_1|+\sum_{i=1}^{n−1} |a_i−a_{i+1}|= \sum k_ia_i$?

Published on 12 Apr 2026 - 2:40

130

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Given $a, b, c>0$, prove $\frac{a^4}{a+b}+\frac{b^4}{b+c}+\frac{c^4}{c+a}\geq \frac{1}{2}(a^{2}c+b^{2}a+c^{2}b)$

Published on 25 Mar 2026 - 6:06

35

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Question related to finding a recurrence relation involving series and gcd

Published on 12 Apr 2026 - 22:40

182

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How to prove $n = \sum_{k=0}^{\lfloor \log_2{n} \rfloor}{\left[ \left\lfloor \frac{n}{2^{k+2}} \right\rfloor + c_k \right](k+1)}$

Published on 16 Apr 2026 - 14:10

208

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How to prove formula related to $2$-adic valuation / $2$-adic absolute value and binary expansion

Published on 12 Apr 2026 - 22:01

List Question

Find exact value or approximation for double sum function

Double Summation indexes problem

Tetration: Summation of ${1 \over{}^{n}2}$

Infinite sum and convergence

If $F(n)$ is the unique number of arranging $n \ge 1$ unique items, prove inductively that $F(n) = n!$

Double Series Identity

Complex numbers algebra problem involving cyclic summation

Why is $\sum_{i=1}^n\frac n{n-i+1}=n\sum_{i=1}^n\frac1i$?

Summation of rational complex function

Sum of all divisors of the first $n$ positive integers.

How would I prove $|a_n−a_1|+\sum_{i=1}^{n−1} |a_i−a_{i+1}|= \sum k_ia_i$?

Given $a, b, c>0$, prove $\frac{a^4}{a+b}+\frac{b^4}{b+c}+\frac{c^4}{c+a}\geq \frac{1}{2}(a^{2}c+b^{2}a+c^{2}b)$

Question related to finding a recurrence relation involving series and gcd

How to prove $n = \sum_{k=0}^{\lfloor \log_2{n} \rfloor}{\left[ \left\lfloor \frac{n}{2^{k+2}} \right\rfloor + c_k \right](k+1)}$

How to prove formula related to $2$-adic valuation / $2$-adic absolute value and binary expansion

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