List questions from telescopic-series

Published on 11 Apr 2026 - 18:53

225

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Computing $\sum_{n=1}^∞\frac{1}{(n+1)(n+2)(n+3)....(n+p)}$

Published on 16 Apr 2026 - 0:47

1.3k

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Telescoping series- find a closed formula for $a_{k}$

Published on 11 Apr 2026 - 21:03

75

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telescopic series

Published on 15 Apr 2026 - 8:38

72

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Calculate the sum of the following infinite sequence: $\sum\limits_{n=1}^{\infty} \frac{1}{(2n-1)(2n+1)}$

Published on 14 Apr 2026 - 21:34

763

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A curious summation question from pre-RMO 2016

Published on 13 Apr 2026 - 8:48

216

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Telescoping series order.

Published on 16 Apr 2026 - 9:57

252

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Evaluate $\sum_{r=1}^{\infty} \dfrac{r^2 - 1}{r^4 + r^2 + 1}$

Published on 15 Apr 2026 - 4:07

72

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On the limit defined by $A + B(A + B(A + B (A + B(\cdots))))$

Published on 17 Apr 2026 - 13:36

70

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Sum of the series created by a recursive sequence

Published on 16 Apr 2026 - 0:27

280

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Creative telescoping of a non-hypergeometric function $\sum_{k=0}^n\binom{n}{k}p^k(1-p)^{n-k}A_{n,k}/\left[(1+A_{n,k})(b+cA_{n,k})(q+pA_{n,k})\right]$

Published on 17 Apr 2026 - 1:16

115

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The sum of $\frac{2}{(n-1)(n-2)(n)} $ converges to what number?

Published on 15 Apr 2026 - 4:46

61

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Help with $\sum_{n=1}^\infty \ln\left( \frac{(n+1)^2}{n(n+2)} \right)$

Published on 16 Apr 2026 - 7:05

85

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Evaluate $\sum_{n=1}^\infty \ln\left( \frac{n(2n+1)}{(n+1)(2n-1)}\right)$

Published on 16 Apr 2026 - 16:17

145

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Summation of $\frac{1}{n(n+1)}$

Published on 13 Apr 2026 - 19:00

List Question

A summation involving $\arctan$, $\pi$ and Hyperbolic function

Computing $\sum_{n=1}^∞\frac{1}{(n+1)(n+2)(n+3)....(n+p)}$

Telescoping series- find a closed formula for $a_{k}$

telescopic series

Calculate the sum of the following infinite sequence: $\sum\limits_{n=1}^{\infty} \frac{1}{(2n-1)(2n+1)}$

A curious summation question from pre-RMO 2016

Telescoping series order.

Evaluate $\sum_{r=1}^{\infty} \dfrac{r^2 - 1}{r^4 + r^2 + 1}$

On the limit defined by $A + B(A + B(A + B (A + B(\cdots))))$

Sum of the series created by a recursive sequence

Creative telescoping of a non-hypergeometric function $\sum_{k=0}^n\binom{n}{k}p^k(1-p)^{n-k}A_{n,k}/\left[(1+A_{n,k})(b+cA_{n,k})(q+pA_{n,k})\right]$

The sum of $\frac{2}{(n-1)(n-2)(n)} $ converges to what number?

Help with $\sum_{n=1}^\infty \ln\left( \frac{(n+1)^2}{n(n+2)} \right)$

Evaluate $\sum_{n=1}^\infty \ln\left( \frac{n(2n+1)}{(n+1)(2n-1)}\right)$

Summation of $\frac{1}{n(n+1)}$

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