List questions from telescopic-series

Published on 18 Sep 2017 - 10:11

7.2k

Views

Infinite sum of $\cot^{-1} (n^2 + 3/4)$.

Published on 22 Sep 2017 - 13:29

352

Views

How to evaluate the sum : $\sum_{k=1}^{n} \frac{k}{k^4+1/4}$

Published on 28 Sep 2017 - 14:58

149

Views

Summing up $3+5+9+17+...$

Published on 09 Oct 2017 - 7:41

1.1k

Views

Solve Recurrence relation -:$T(n)=T(n-1)+6n^{2}+2n$

Published on 12 Oct 2017 - 6:36

174

Views

Find the $n^{th}$ partial sum of a telescoping series

Published on 13 Oct 2017 - 1:43

328

Views

When does the limit of $a_n$ exist where $a_{n+1}:=a_n+\frac{a_n^2}{n^2}?$

Published on 14 Oct 2017 - 6:28

181

Views

Solving $\left(1+3+5...+(2n+1)\right ) + \left(3.5+5+6.5+...+(\frac{7+3n}{2})\right)=105$

Published on 17 Oct 2017 - 17:34

158

Views

Why is $a_{1} > 0 \land a_{n+1}=a_{n}+\frac{1}{a_{n}}$ unbounded?

Published on 19 Oct 2017 - 14:14

123

Views

Proof of an inequality by induction

Published on 24 Oct 2017 - 19:22

130

Views

How to compute: $S_{q,p} =\sum\limits_{n=1}^\infty\frac{1}{{(n+q)(n+q+1)…(n+p)}}$

Published on 30 Oct 2017 - 19:14

99

Views

Calculate sum of $\sum_{n=3} \frac{1}{4(n-2)}-\frac{1}{4(n+2)}$

Published on 12 Nov 2017 - 11:16

64

Views

Show that $\sum _{n=k }^{ l }\frac {1}{n^2}\le\frac { 1 }{k^2} +\frac {1}{k} -\frac {1}{l} $ holds

Published on 13 Nov 2017 - 19:52

226

Views

Sylvester's sequence, and a similar sum

Published on 16 Nov 2017 - 23:48

244

Views

Trigonometric identity of finite terms

Published on 18 Nov 2017 - 12:22

List Question

A formula for $1^4+2^4+...+n^4$

Infinite sum of $\cot^{-1} (n^2 + 3/4)$.

How to evaluate the sum : $\sum_{k=1}^{n} \frac{k}{k^4+1/4}$

Summing up $3+5+9+17+...$

Solve Recurrence relation -:$T(n)=T(n-1)+6n^{2}+2n$

Find the $n^{th}$ partial sum of a telescoping series

When does the limit of $a_n$ exist where $a_{n+1}:=a_n+\frac{a_n^2}{n^2}?$

Solving $\left(1+3+5...+(2n+1)\right ) + \left(3.5+5+6.5+...+(\frac{7+3n}{2})\right)=105$

Why is $a_{1} > 0 \land a_{n+1}=a_{n}+\frac{1}{a_{n}}$ unbounded?

Proof of an inequality by induction

How to compute: $S_{q,p} =\sum\limits_{n=1}^\infty\frac{1}{{(n+q)(n+q+1)…(n+p)}}$

Calculate sum of $\sum_{n=3} \frac{1}{4(n-2)}-\frac{1}{4(n+2)}$

Show that $\sum _{n=k }^{ l }\frac {1}{n^2}\le\frac { 1 }{k^2} +\frac {1}{k} -\frac {1}{l} $ holds

Sylvester's sequence, and a similar sum

Trigonometric identity of finite terms

Trending Questions

Popular # Hahtags

Popular Questions