List questions from telescopic-series

Published on 07 Feb 2017 - 19:11

222

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

Published on 09 Feb 2017 - 17:50

1.3k

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

Published on 02 Mar 2017 - 23:28

72

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telescopic series

Published on 03 Mar 2017 - 0:36

69

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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 16 Mar 2017 - 4:20

760

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A curious summation question from pre-RMO 2016

Published on 16 Mar 2017 - 7:46

213

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Telescoping series order.

Published on 28 Mar 2017 - 19:18

249

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

Published on 03 Feb 2023 - 11:15

69

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

Published on 06 Mar 2023 - 6:26

67

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Sum of the series created by a recursive sequence

Published on 14 Mar 2023 - 9:56

277

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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 01 Apr 2023 - 20:24

112

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

Published on 16 Apr 2023 - 16:48

58

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

Published on 16 Apr 2023 - 18:09

82

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

Published on 16 Apr 2023 - 23:06

142

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

Published on 20 Apr 2023 - 0:04

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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