Question

Compute $\sum_{k=1}^{25} (\frac{1}{k}-\frac{1}{k+4})$

score 98 · Answer 1 · 2019-02-07 13:02:27

98

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Compute $\sum_{k=1}^{25} (\frac{1}{k}-\frac{1}{k+4})$

Published on 07 Feb 2019 - 13:02

score 96 · Answer 2 · 2019-02-08 08:22:38

96

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Evaluating $S_n$ where $n=1,2,3,\dots$ and $S_n=\sum_{k=1}^{\infty }\frac{1}{(4k^2-1)^n}$

Published on 08 Feb 2019 - 8:22

score 141 · Answer 3 · 2019-02-23 12:00:39

141

Views

Question from the 2011 IMC (International Mathematics Competition) Key Stage III paper, about the evaluation of a quadratic equation

Published on 23 Feb 2019 - 12:00

score 140 · Answer 4 · 2019-02-25 10:29:27

140

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Trigonometric series sum with $\sin$ function

Published on 25 Feb 2019 - 10:29

score 316 · Answer 5 · 2019-03-05 05:28:57

316

Views

Sums with gcd $\sum_{n=1}^{1009} \gcd(2n, 2020) - \sum_{n=0}^{1008} \gcd(2n+1, 2019)$

Published on 05 Mar 2019 - 5:28

score 91 · Answer 6 · 2019-03-24 06:53:59

91

Views

Approximating series of fractions

Published on 24 Mar 2019 - 6:53

score 660 · Answer 7 · 2019-04-03 08:54:48

660

Views

how to write the general formula for a telescoping series

Published on 03 Apr 2019 - 8:54

score 40 · Answer 8 · 2019-04-07 08:39:34

40

Views

$\sum_{n=q_1}^{q_2-1}\frac{1}{n^2}<\frac{1}{q_1-1}$ inequality

Published on 07 Apr 2019 - 8:39

score 94 · Answer 9 · 2019-04-15 14:09:52

94

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Find the sum: $\sum_{n=1}^{\infty} \ln\left(\frac{b+n+1}{a+n+1}\right)$

Published on 15 Apr 2019 - 14:09

score 78 · Answer 10 · 2019-05-02 23:37:51

78

Views

Could I get an explanation for the telescoping series?

Published on 02 May 2019 - 23:37

score 970 · Answer 11 · 2019-05-08 03:55:00

970

Views

Find the sum of the series: $\cos^3 \alpha +\cos^3 {3\alpha} + \cos^3 {5\alpha}+....+\cos^3 {(2n-1)\alpha}$.

Published on 08 May 2019 - 3:55

score 36 · Answer 12 · 2019-05-10 11:44:04

36

Views

Computing $S_n(x)$, the partial sum of a series explicitly

Published on 10 May 2019 - 11:44

score 99 · Answer 13 · 2019-05-13 11:28:55

99

Views

How to compute the $n^{th}$ partial sum of a series?

Published on 13 May 2019 - 11:28

score 145 · Answer 14 · 2019-05-25 06:21:45

145

Views

sum of the series: $\cos^3 \alpha +\cos^3 {3\alpha} + \cos^3 {5\alpha}+....+\cos^3 {(2n-1)\alpha}$.

Published on 25 May 2019 - 6:21

score 79 · Answer 15 · 2019-06-05 19:53:31

79

Views

Can someone explain to me how $\sum_{k=1}^\infty \frac{n}{(n+k)(n+k+1)}=\frac{n}{n+1}$?

Published on 05 Jun 2019 - 19:53

List Question

Compute $\sum_{k=1}^{25} (\frac{1}{k}-\frac{1}{k+4})$

Evaluating $S_n$ where $n=1,2,3,\dots$ and $S_n=\sum_{k=1}^{\infty }\frac{1}{(4k^2-1)^n}$

Question from the 2011 IMC (International Mathematics Competition) Key Stage III paper, about the evaluation of a quadratic equation

Trigonometric series sum with $\sin$ function

Sums with gcd $\sum_{n=1}^{1009} \gcd(2n, 2020) - \sum_{n=0}^{1008} \gcd(2n+1, 2019)$

Approximating series of fractions

how to write the general formula for a telescoping series

$\sum_{n=q_1}^{q_2-1}\frac{1}{n^2}<\frac{1}{q_1-1}$ inequality

Find the sum: $\sum_{n=1}^{\infty} \ln\left(\frac{b+n+1}{a+n+1}\right)$

Could I get an explanation for the telescoping series?

Find the sum of the series: $\cos^3 \alpha +\cos^3 {3\alpha} + \cos^3 {5\alpha}+....+\cos^3 {(2n-1)\alpha}$.

Computing $S_n(x)$, the partial sum of a series explicitly

How to compute the $n^{th}$ partial sum of a series?

sum of the series: $\cos^3 \alpha +\cos^3 {3\alpha} + \cos^3 {5\alpha}+....+\cos^3 {(2n-1)\alpha}$.

Can someone explain to me how $\sum_{k=1}^\infty \frac{n}{(n+k)(n+k+1)}=\frac{n}{n+1}$?

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