Question

How to prove this relation between definite integral and the sum of definite integrals

score 77 · Answer 1 · 2026-03-25 18:48:11

77

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How to prove this relation between definite integral and the sum of definite integrals

Published on 25 Mar 2026 - 18:48

score 58 · Answer 2 · 2018-05-02 02:00:11

58

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Rewrite sum on tuples

Published on 02 May 2018 - 2:00

score 138 · Answer 3 · 2018-05-02 09:59:00

138

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How can I calculate this sum $\sum_{x=1}^{\infty} x^2\cdot q^{x-1} \cdot p$?

Published on 02 May 2018 - 9:59

score 36 · Answer 4 · 2018-05-02 10:54:41

Find an asymptotic for $\frac{1}{n}\sum_{k=1}^{[nx ]} \sum_{j=1}^{n-1}k \sin \frac{\pi j}{n} \sin \frac{\pi k j}{n} \cos^{[tn^2]} \frac{\pi j}{n}$

score 1.9k · Answer 5 · 2018-05-02 14:14:07

1.9k

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Infinite sum converging to 2

Published on 02 May 2018 - 14:14

score 1.9k · Answer 6 · 2026-03-27 01:47:41

1.9k

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Express the sequence $\{x_n\}$ where $x_n = 2x_{n-1} + 3x_{n-2}$ in terms of ${x_0, x_1, n}$

Published on 27 Mar 2026 - 1:47

score 176 · Answer 7 · 2026-03-26 06:18:18

176

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How to evaluate this binomial sum?

Published on 26 Mar 2026 - 6:18

score 943 · Answer 8 · 2018-05-03 17:40:49

943

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Evaluate $\sum\limits_{r=1}^{50}\left[\frac{1}{49+r} - \frac{1}{2r(2r-1)}\right]$

Published on 03 May 2018 - 17:40

score 1.2k · Answer 9 · 2026-03-25 11:17:17

1.2k

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Using summation notation to solve Riemann Sum problems

Published on 25 Mar 2026 - 11:17

score 75 · Answer 10 · 2018-05-04 14:54:54

75

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Finite sum where every term is a square root

Published on 04 May 2018 - 14:54

score 42 · Answer 11 · 2026-03-27 13:42:16

42

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For which values of $\gamma>0$ do we have $\lim_{n \to \infty} \frac{1}{n^2}\sum_{k=1}^n k^\gamma=0$

Published on 27 Mar 2026 - 13:42

score 72 · Answer 12 · 2026-03-27 13:40:09

72

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Inequality about the most common divergent series

Published on 27 Mar 2026 - 13:40

score 166 · Answer 13 · 2026-03-25 04:41:21

166

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Can a prime have arbitary many representations as a sum of two perfect powers?

Published on 25 Mar 2026 - 4:41

score 45 · Answer 14 · 2018-05-05 19:16:02

prove that $2^{n-1}=\sum_{x=1}^{\frac{\left(n+\operatorname{mod}(n,2)\right)}{2}}\left(_n\mathrm{C}_r(n,2x-1)\right)$

score 81 · Answer 15 · 2026-03-25 07:41:57

81

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Sum of $34$ Terms Involving Floor Function

Published on 25 Mar 2026 - 7:41

List Question

How to prove this relation between definite integral and the sum of definite integrals

Rewrite sum on tuples

How can I calculate this sum $\sum_{x=1}^{\infty} x^2\cdot q^{x-1} \cdot p$?

Find an asymptotic for $\frac{1}{n}\sum_{k=1}^{[nx ]} \sum_{j=1}^{n-1}k \sin \frac{\pi j}{n} \sin \frac{\pi k j}{n} \cos^{[tn^2]} \frac{\pi j}{n}$

Infinite sum converging to 2

Express the sequence $\{x_n\}$ where $x_n = 2x_{n-1} + 3x_{n-2}$ in terms of ${x_0, x_1, n}$

How to evaluate this binomial sum?

Evaluate $\sum\limits_{r=1}^{50}\left[\frac{1}{49+r} - \frac{1}{2r(2r-1)}\right]$

Using summation notation to solve Riemann Sum problems

Finite sum where every term is a square root

For which values of $\gamma>0$ do we have $\lim_{n \to \infty} \frac{1}{n^2}\sum_{k=1}^n k^\gamma=0$

Inequality about the most common divergent series

Can a prime have arbitary many representations as a sum of two perfect powers?

prove that $2^{n-1}=\sum_{x=1}^{\frac{\left(n+\operatorname{mod}(n,2)\right)}{2}}\left(_n\mathrm{C}_r(n,2x-1)\right)$

Sum of $34$ Terms Involving Floor Function

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