List questions from summation

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How to find the average value/sum of combinations with repetitions

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How to show that $2^n > n$ without induction

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Calculate $\sum_{k=0}^{n} \frac{(-1)^kk}{4k^2-1}$

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Number of Non negative integer solutions of $x+2y+5z=100$

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Sum of $\{n\sqrt{2}\}$

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Use orthogonality to proof Parseval's identity for the general Fourier series written as the power spectrum

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56

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In Information Theory, what is the lower bound that minimizes the value of $2^{l_x}$

Published on 27 Mar 2026 - 2:37

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Find the sum of $\sin^2(n)$

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377

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A proof of $\sum\limits_{d|n} \sigma(d) = n \sum\limits_{d|n} {\tau(d) \over d}$

Published on 25 Mar 2026 - 6:21

95

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Why is the inequality $\sum_{n=1}^{\infty} \frac{1}{n^2} \leq 1 + \int_1^{\infty} \frac{1}{x^2}$ true?

Published on 29 Mar 2026 - 10:29

184

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Calculating $S=\sum\limits_{n=1}^\infty\left(\frac{1}{\Gamma^2(n+1)}\right)^{{1}/{n}}$

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Find a formula for $\sum\limits_{r=1}^{n} (r^2+1)(r!)$

Published on 28 Nov 2018 - 9:18

37

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$\sum_{n = 1}^{D - 1} \frac{n}{D - n}$ written as a function of $D$?

Published on 28 Nov 2018 - 12:05

75

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Solving a series with this form without using induction or countdown method

Published on 28 Nov 2018 - 15:30

List Question

Find the sum or value of following expression

How to find the average value/sum of combinations with repetitions

How to show that $2^n > n$ without induction

Calculate $\sum_{k=0}^{n} \frac{(-1)^kk}{4k^2-1}$

Number of Non negative integer solutions of $x+2y+5z=100$

Sum of $\{n\sqrt{2}\}$

Use orthogonality to proof Parseval's identity for the general Fourier series written as the power spectrum

In Information Theory, what is the lower bound that minimizes the value of $2^{l_x}$

Find the sum of $\sin^2(n)$

A proof of $\sum\limits_{d|n} \sigma(d) = n \sum\limits_{d|n} {\tau(d) \over d}$

Why is the inequality $\sum_{n=1}^{\infty} \frac{1}{n^2} \leq 1 + \int_1^{\infty} \frac{1}{x^2}$ true?

Calculating $S=\sum\limits_{n=1}^\infty\left(\frac{1}{\Gamma^2(n+1)}\right)^{{1}/{n}}$

Find a formula for $\sum\limits_{r=1}^{n} (r^2+1)(r!)$

$\sum_{n = 1}^{D - 1} \frac{n}{D - n}$ written as a function of $D$?

Solving a series with this form without using induction or countdown method

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