List questions from telescopic-series

Published on 29 Jun 2017 - 2:46

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$\sum r(r+1)(r+2)(r+3)$ is equal to?

Published on 04 Jul 2017 - 18:42

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Proving the divisibility $a-1\mid a^n-1$ using induction

Published on 05 Jul 2017 - 0:29

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Solving Telescoping Series

Published on 05 Jul 2017 - 22:46

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limit of a sequence

Published on 10 Jul 2017 - 13:46

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Telescoping(?) an infinite series

Published on 12 Jul 2017 - 5:21

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Terminology for generalization(?) of telescopic series

Published on 30 Jul 2017 - 8:48

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Inequality $\frac{1}{a+b}+\frac{1}{a+2b}+...+\frac{1}{a+nb}<\frac{n}{\sqrt{a\left( a+nb \right)}}$

Published on 01 Aug 2017 - 19:15

122

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What is the sum of this telescoping series?

Published on 03 Aug 2017 - 10:08

180

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Find a solution of $a_{n+2} = 5a_{n+1} - 6a_n$ that satisfies the initial conditions $a_0 =3$ and $a_1 =11$

Published on 11 Aug 2017 - 6:20

87

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Find the sum $\frac2{\sqrt2+\sqrt6}+\frac2{\sqrt4+\sqrt8}+\frac2{\sqrt6+\sqrt{10}}+\ldots+\frac2{\sqrt{60}+\sqrt{64}}$

Published on 18 Aug 2017 - 19:19

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Approximating a series through successive telescopic series

Published on 23 Aug 2017 - 4:53

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Limit of a sequence : $x_n = \frac{1}{1\cdot 2\cdot 3} + \frac{1}{2\cdot 3\cdot 4} + \ldots + \frac{1}{n(n+1)(n+2)}$

Published on 09 Sep 2017 - 11:52

974

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Sum of reciprocals of product of consecutive integers

Published on 09 Sep 2017 - 15:34

64

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Is the series convergent $\sum (n+1)^{\frac{1}{3}} - n^{\frac{1}{3}}$

Published on 10 Sep 2017 - 9:34

List Question

Proving inequality $\ 1+\frac14+\frac19+\cdots+\frac1{n^2}\le 2-\frac1n$ using induction

$\sum r(r+1)(r+2)(r+3)$ is equal to?

Proving the divisibility $a-1\mid a^n-1$ using induction

Solving Telescoping Series

limit of a sequence

Telescoping(?) an infinite series

Terminology for generalization(?) of telescopic series

Inequality $\frac{1}{a+b}+\frac{1}{a+2b}+...+\frac{1}{a+nb}<\frac{n}{\sqrt{a\left( a+nb \right)}}$

What is the sum of this telescoping series?

Find a solution of $a_{n+2} = 5a_{n+1} - 6a_n$ that satisfies the initial conditions $a_0 =3$ and $a_1 =11$

Find the sum $\frac2{\sqrt2+\sqrt6}+\frac2{\sqrt4+\sqrt8}+\frac2{\sqrt6+\sqrt{10}}+\ldots+\frac2{\sqrt{60}+\sqrt{64}}$

Approximating a series through successive telescopic series

Limit of a sequence : $x_n = \frac{1}{1\cdot 2\cdot 3} + \frac{1}{2\cdot 3\cdot 4} + \ldots + \frac{1}{n(n+1)(n+2)}$

Sum of reciprocals of product of consecutive integers

Is the series convergent $\sum (n+1)^{\frac{1}{3}} - n^{\frac{1}{3}}$

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