List questions from summation

Published on 23 Apr 2014 - 8:34

68

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Turning a summation into an integral

Published on 10 Apr 2026 - 23:36

1.9k

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Sum of this eries: $\sum_{k=1}^{\infty}kp(1-p)^{k-1}$

Published on 23 Apr 2014 - 14:14

53

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help with simplifying this sum

Published on 09 Apr 2026 - 7:02

813

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How to calculate the following sums?

Published on 12 Apr 2026 - 6:03

2.1k

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Summation with non integer induces

Published on 11 Apr 2026 - 15:48

170

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Sum as an integral

Published on 09 Apr 2026 - 6:57

528

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Integral $I=\int_0^1 \frac{\log x \log (1+x) \log(1-x) \log(1+x^2)\log(1-x^2)}{x^{3/2}}dx$

Published on 24 Apr 2014 - 2:59

90

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Proving for all n that $\sum_{i=0}^n \frac1{2^{i}} < 2$

Published on 24 Apr 2014 - 3:44

122

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finite sum of powers

Published on 10 Apr 2026 - 21:51

41

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how do I figure out Which of the following is true?

Published on 12 Apr 2026 - 4:11

1.2k

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Formula for $\sum_{k=0}^n k^d {n \choose 2k}$

Published on 03 Apr 2026 - 7:21

258

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No real solutions to $\sum_{n\,=\,0}^\infty \frac {(-1)^{n + 1}} {n^x} = 0$

Published on 24 Apr 2014 - 13:12

229

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Application of Residue Theorem and limits

Published on 11 Apr 2026 - 19:18

373

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value of summation of $2^i\cdot i$

Published on 11 Apr 2026 - 7:57

List Question

determining $n$ in a given sequence $\frac{1+3+5+...+(2n-1)}{2+4+6+...+(2n)} =\frac{2011}{2012} $

Turning a summation into an integral

Sum of this eries: $\sum_{k=1}^{\infty}kp(1-p)^{k-1}$

help with simplifying this sum

How to calculate the following sums?

Summation with non integer induces

Sum as an integral

Integral $I=\int_0^1 \frac{\log x \log (1+x) \log(1-x) \log(1+x^2)\log(1-x^2)}{x^{3/2}}dx$

Proving for all n that $\sum_{i=0}^n \frac1{2^{i}} < 2$

finite sum of powers

how do I figure out Which of the following is true?

Formula for $\sum_{k=0}^n k^d {n \choose 2k}$

No real solutions to $\sum_{n\,=\,0}^\infty \frac {(-1)^{n + 1}} {n^x} = 0$

Application of Residue Theorem and limits

value of summation of $2^i\cdot i$

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