Question

$\frac{N}{n}$; probability

score 93 · Answer 1 · 2026-03-22 18:08:30

93

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$\frac{N}{n}$; probability

Published on 22 Mar 2026 - 18:08

score 436 · Answer 2 · 2018-04-07 19:43:24

436

Views

Evaluate $\sum_{k=1}^\infty \frac{k-1}{2^{k+1}}$ as a telescoping series?

Published on 07 Apr 2018 - 19:43

score 511 · Answer 3 · 2018-04-11 19:15:38

511

Views

Writing integers as a product of as few elements of $\{\frac21, \frac32, \frac43, \frac54, \ldots\}$ as possible

Published on 11 Apr 2018 - 19:15

score 432 · Answer 4 · 2018-04-16 18:50:48

432

Views

What is $x$, if $\cot ^{-1} \left(3x+\frac{2}{x}\right)+\cot ^{-1} \left(6x+\frac{2}{x}\right)+\cot ^{-1} \left(10x+\frac{2}{x}\right)+\cdots = 1$?

Published on 16 Apr 2018 - 18:50

score 31 · Answer 5 · 2018-04-18 09:17:13

31

Views

Method of Differences: unable to re-write expression in usable form

Published on 18 Apr 2018 - 9:17

score 4.6k · Answer 6 · 2018-04-18 16:26:13

4.6k

Views

Formula for the nth partial sum of a telescoping series

Published on 18 Apr 2018 - 16:26

score 785 · Answer 7 · 2018-05-19 07:36:55

785

Views

Summation of $\sum_{r=1}^{n} \frac{\cos (2rx)}{\sin((2r+1)x \sin((2r-1)x}$

Published on 19 May 2018 - 7:36

score 68 · Answer 8 · 2026-03-22 12:13:08

68

Views

Telescopic Product involving Complex Numbers

Published on 22 Mar 2026 - 12:13

score 117 · Answer 9 · 2018-05-28 17:15:58

117

Views

Find the value of the sum $\frac{1}{10001998}+\frac{1}{10011997}+\cdots+\frac{1}{1998*1000}$

Published on 28 May 2018 - 17:15

score 126 · Answer 10 · 2026-03-22 11:11:35

126

Views

Finding $\frac1{1+1^2+1^4}+\frac2{1+2^2+2^4}+\cdots+\frac n{1+n^2+n^4}$.

Published on 22 Mar 2026 - 11:11

score 126 · Answer 11 · 2018-06-03 16:12:26

126

Views

Find the value of $S$ in term of $k$ (telescoping sums)

Published on 03 Jun 2018 - 16:12

score 48 · Answer 12 · 2018-06-07 17:32:33

48

Views

Which partial sum should be considered to find $\sum_{n=1}^\infty c_1x_{n+1}+c_2x_{n+2}+...+c_kx_{n+k}$

Published on 07 Jun 2018 - 17:32

score 127 · Answer 13 · 2018-06-23 15:56:28

127

Views

Simplify $\sum_{k=0}^{n} \frac{1}{(n-k)!(n+k)!}$

Published on 23 Jun 2018 - 15:56

score 132 · Answer 14 · 2026-03-22 06:09:29

132

Views

Finding $\Sigma\frac{(n+1)(n+2)}{2!}$ .

Published on 22 Mar 2026 - 6:09

score 2.9k · Answer 15 · 2018-06-27 04:23:50

2.9k

Views

Find $x$ if $\frac1{\sin1°\sin2°}+\frac1{\sin2°\sin3°}+\cdots+\frac1{\sin89°\sin90°} = \cot x\cdot\csc x$

Published on 27 Jun 2018 - 4:23

List Question

$\frac{N}{n}$; probability

Evaluate $\sum_{k=1}^\infty \frac{k-1}{2^{k+1}}$ as a telescoping series?

Writing integers as a product of as few elements of $\{\frac21, \frac32, \frac43, \frac54, \ldots\}$ as possible

What is $x$, if $\cot ^{-1} \left(3x+\frac{2}{x}\right)+\cot ^{-1} \left(6x+\frac{2}{x}\right)+\cot ^{-1} \left(10x+\frac{2}{x}\right)+\cdots = 1$?

Method of Differences: unable to re-write expression in usable form

Formula for the nth partial sum of a telescoping series

Summation of $\sum_{r=1}^{n} \frac{\cos (2rx)}{\sin((2r+1)x \sin((2r-1)x}$

Telescopic Product involving Complex Numbers

Find the value of the sum $\frac{1}{10001998}+\frac{1}{10011997}+\cdots+\frac{1}{1998*1000}$

Finding $\frac1{1+1^2+1^4}+\frac2{1+2^2+2^4}+\cdots+\frac n{1+n^2+n^4}$.

Find the value of $S$ in term of $k$ (telescoping sums)

Which partial sum should be considered to find $\sum_{n=1}^\infty c_1x_{n+1}+c_2x_{n+2}+...+c_kx_{n+k}$

Simplify $\sum_{k=0}^{n} \frac{1}{(n-k)!(n+k)!}$

Finding $\Sigma\frac{(n+1)(n+2)}{2!}$ .

Find $x$ if $\frac1{\sin1°\sin2°}+\frac1{\sin2°\sin3°}+\cdots+\frac1{\sin89°\sin90°} = \cot x\cdot\csc x$

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