List questions from telescopic-series

Published on 21 Mar 2026 - 5:31

262

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Calculate the sum of the series: $\sum\limits_{n=1}^{\infty}\left ( \frac{3}{n^{2}+n}-\frac{2}{4n^{2}+16n+15} \right )$

Published on 20 Mar 2026 - 12:07

77

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Squared Summation(Intermediate Step)

Published on 20 Mar 2026 - 7:41

162

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Another solution.

Published on 20 Mar 2026 - 17:48

84

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I am stuck on a question Algebra:Sequence and series

Published on 22 Mar 2026 - 4:15

1.8k

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What is the closed form of the sequence : $ a_{n+2} = 2a_{n+1}-a_n+2^n+2 $

Published on 20 Mar 2026 - 17:24

205

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Find the closed form of $u_{n+1}=a_nu_n+b_n$

Published on 22 Mar 2026 - 11:17

70

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Want to understand how a fraction is simplified

Published on 22 Mar 2026 - 3:01

306

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Evaluate a sum which almost looks telescoping but not quite:$\sum_{k=2}^n \frac{1}{k(k+2)}$

Published on 22 Mar 2026 - 12:54

281

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Compute the values of the Double Sum

Published on 20 Mar 2026 - 10:06

166

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Sum of given telescopic series

Published on 19 Mar 2026 - 16:05

99

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Finding the limit of the recursive sequence defined as $5a_{n+2}=3a_{n+1}+2a_n$

Published on 23 Mar 2026 - 4:22

295

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Prove that $ \frac{\sin(2m+1) \theta}{\sin \theta} = 1 + 2 \cos2\theta + 2\cos4\theta+\dots+2 \cos2m\theta$

Published on 17 Mar 2026 - 8:34

62

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Find $S_n$ summation.

Published on 17 Mar 2026 - 19:17

93

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What is the sum of $\sum_{n=1}^\infty\left(\frac{2n+1}{n^4+2n^3+n^2}\right) = $?

Published on 17 Mar 2026 - 14:06

List Question

Double-exponential sum (maybe it telescopes?)

Calculate the sum of the series: $\sum\limits_{n=1}^{\infty}\left ( \frac{3}{n^{2}+n}-\frac{2}{4n^{2}+16n+15} \right )$

Squared Summation(Intermediate Step)

Another solution.

I am stuck on a question Algebra:Sequence and series

What is the closed form of the sequence : $ a_{n+2} = 2a_{n+1}-a_n+2^n+2 $

Find the closed form of $u_{n+1}=a_nu_n+b_n$

Want to understand how a fraction is simplified

Evaluate a sum which almost looks telescoping but not quite:$\sum_{k=2}^n \frac{1}{k(k+2)}$

Compute the values of the Double Sum

Sum of given telescopic series

Finding the limit of the recursive sequence defined as $5a_{n+2}=3a_{n+1}+2a_n$

Prove that $ \frac{\sin(2m+1) \theta}{\sin \theta} = 1 + 2 \cos2\theta + 2\cos4\theta+\dots+2 \cos2m\theta$

Find $S_n$ summation.

What is the sum of $\sum_{n=1}^\infty\left(\frac{2n+1}{n^4+2n^3+n^2}\right) = $?

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