Question

Evaluate $\sum\limits_{k=1}^n (x+1)^{k+1}$

score 148 · Answer 1 · 2019-02-08 17:18:21

148

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Evaluate $\sum\limits_{k=1}^n (x+1)^{k+1}$

Published on 08 Feb 2019 - 17:18

score 153 · Answer 2 · 2019-02-08 23:33:54

153

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Find the maximum finite number of roots $\sum_{i=1}^{40} |x-a_i| = \sum_{i=1}^{40} |x-b_i|$.

Published on 08 Feb 2019 - 23:33

score 211 · Answer 3 · 2026-03-27 20:22:29

211

Views

Proving $\sum\sqrt{A_i^2+B_i^2} \geq \sqrt{\left(\sum A_i\right)^2+\left(\sum B_i\right)^2} $

Published on 27 Mar 2026 - 20:22

score 106 · Answer 4 · 2019-02-09 03:46:55

106

Views

Converting Summation into matrix form

Published on 09 Feb 2019 - 3:46

score 59 · Answer 5 · 2019-02-09 06:39:11

59

Views

Why is $\sum_{r=1}^n r^{\overline{a+1}}(r+b)=\big(\sum_{r=1}^n r^{\overline{a+1}}\big)\big(An+B\big)$?

Published on 09 Feb 2019 - 6:39

score 225 · Answer 6 · 2026-03-28 23:19:05

225

Views

Solving a physical problem involving electric circuits

Published on 28 Mar 2026 - 23:19

score 84 · Answer 7 · 2026-04-03 18:51:38

84

Views

Find the limit $‎{\lim\limits_{n\to\infty}}(x \log(n^2+a^2) + \sum\limits_{k=1}^n \log(k^2+a^2) -‎ ‎\log((k+x)^2+a^2))‎$‎

Published on 03 Apr 2026 - 18:51

score 655 · Answer 8 · 2019-02-10 00:49:28

655

Views

If $\sum_{i=1}^n \cos \theta_i$=n, then find the value of $\sum_{i=1}^n \sin \theta_i$

Published on 10 Feb 2019 - 0:49

score 3.1k · Answer 9 · 2019-02-10 01:29:55

3.1k

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How do you compute the sum of k * a^k

Published on 10 Feb 2019 - 1:29

score 108 · Answer 10 · 2019-02-10 01:58:38

108

Views

Evaluate $\sum\limits_{k=1}^n (k^{3} +k^{2} +1) / (k^{2} +k)$

Published on 10 Feb 2019 - 1:58

score 160 · Answer 11 · 2026-03-27 07:31:13

160

Views

If $\sum_{n=1}^\infty\tan^{-1}\left(\frac4{n^2+n+16}\right)=\tan^{-1}\left(\frac\alpha{ 10 }\right)$, then find $\alpha$.

Published on 27 Mar 2026 - 7:31

score 1.8k · Answer 12 · 2026-04-01 23:51:56

1.8k

Views

Sigma notation for sum of $\ln(x)^2$ from $2$ to $20$ with non-integer steps

Published on 01 Apr 2026 - 23:51

score 135 · Answer 13 · 2026-03-26 12:05:44

135

Views

A lower bound for de Polignac's formula

Published on 26 Mar 2026 - 12:05

score 317 · Answer 14 · 2026-03-28 10:24:14

317

Views

The limit of the maximum of a sum of sines

Published on 28 Mar 2026 - 10:24

score 559 · Answer 15 · 2019-02-11 11:42:19

559

Views

Proving an identity involving the alternating sum of products of binomial coefficients

Published on 11 Feb 2019 - 11:42

List Question

Evaluate $\sum\limits_{k=1}^n (x+1)^{k+1}$

Find the maximum finite number of roots $\sum_{i=1}^{40} |x-a_i| = \sum_{i=1}^{40} |x-b_i|$.

Proving $\sum\sqrt{A_i^2+B_i^2} \geq \sqrt{\left(\sum A_i\right)^2+\left(\sum B_i\right)^2} $

Converting Summation into matrix form

Why is $\sum_{r=1}^n r^{\overline{a+1}}(r+b)=\big(\sum_{r=1}^n r^{\overline{a+1}}\big)\big(An+B\big)$?

Solving a physical problem involving electric circuits

Find the limit $‎{\lim\limits_{n\to\infty}}(x \log(n^2+a^2) + \sum\limits_{k=1}^n \log(k^2+a^2) -‎ ‎\log((k+x)^2+a^2))‎$‎

If $\sum_{i=1}^n \cos \theta_i$=n, then find the value of $\sum_{i=1}^n \sin \theta_i$

How do you compute the sum of k * a^k

Evaluate $\sum\limits_{k=1}^n (k^{3} +k^{2} +1) / (k^{2} +k)$

If $\sum_{n=1}^\infty\tan^{-1}\left(\frac4{n^2+n+16}\right)=\tan^{-1}\left(\frac\alpha{ 10 }\right)$, then find $\alpha$.

Sigma notation for sum of $\ln(x)^2$ from $2$ to $20$ with non-integer steps

A lower bound for de Polignac's formula

The limit of the maximum of a sum of sines

Proving an identity involving the alternating sum of products of binomial coefficients

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