Question

Compute: $\frac3{7\cdot2}+\frac3{7\cdot12}+\dots$

score 76 · Answer 1 · 2026-03-27 05:38:12

76

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Compute: $\frac3{7\cdot2}+\frac3{7\cdot12}+\dots$

Published on 27 Mar 2026 - 5:38

score 156 · Answer 2 · 2019-02-17 21:31:01

156

Views

Sum of increasing powers

Published on 17 Feb 2019 - 21:31

score 46 · Answer 3 · 2019-02-18 08:09:37

46

Views

Compute the sum $ \sum_{n=1}^{\infty}(\frac{2}{3})^{n-1}\frac{1}{3}e^{-\frac{2n(1-t)}{t}}$

Published on 18 Feb 2019 - 8:09

score 2.2k · Answer 4 · 2019-02-18 12:19:13

2.2k

Views

Sum of certain consecutive numbers is $1000$.

Published on 18 Feb 2019 - 12:19

score 550 · Answer 5 · 2026-03-26 13:45:56

550

Views

Prove that $0!+1! + 2! + 3! + ..... + n!$ $\neq$ $p^\text{r}$, where $n \geqslant 3$ and $n$, $p$ and $r$ are three integers

Published on 26 Mar 2026 - 13:45

score 328 · Answer 6 · 2026-03-29 05:12:22

328

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Proof of a formula to calculate $1^p+2^p+...+n^p$ for arbitrary $n,p\in\mathbb{N}$

Published on 29 Mar 2026 - 5:12

score 66 · Answer 7 · 2026-03-29 13:53:47

66

Views

Show that $\sum_{k=1}^{p}{{p+1}\choose k}2^k=\sum_{k=1}^{p}{{p+1}\choose k}2^{p+1-k}$

Published on 29 Mar 2026 - 13:53

score 66 · Answer 8 · 2026-03-27 06:06:20

66

Views

Sum involving hypergeometric 2F2 function

Published on 27 Mar 2026 - 6:06

score 47 · Answer 9 · 2026-03-29 13:49:25

47

Views

Sum involving to combinatorics

Published on 29 Mar 2026 - 13:49

score 56 · Answer 10 · 2019-02-20 10:39:47

56

Views

Sum of square roots of the difference between an arbitrary integer and a square

Published on 20 Feb 2019 - 10:39

score 147 · Answer 11 · 2019-02-20 14:34:53

147

Views

How can I prove that this sum is invariant?

Published on 20 Feb 2019 - 14:34

score 123 · Answer 12 · 2019-02-20 16:00:27

123

Views

Sum to infinity of a Series

Published on 20 Feb 2019 - 16:00

score 30 · Answer 13 · 2026-02-23 01:23:46

$\sum_{i=0}^{S/2} (S/2+3/2)^{2i}\frac{2\cdot\Gamma(a) \Gamma(i+0.5)}{\sqrt(\pi) \Gamma(a+i+1)} {S \choose 2i} B_{\frac{S-2i}{2}}^{1+S}(0.5+S/2) $

score 30 · Answer 14 · 2026-03-29 13:23:03

30

Views

Misuse of triangle inequality?

Published on 29 Mar 2026 - 13:23

score 221 · Answer 15 · 2026-03-27 17:57:32

221

Views

Find the smallest $n \ge 1000$ such the sum $ 1+11+111+⋯+11⋯11 (n$ digits) is divisible by $101$

Published on 27 Mar 2026 - 17:57

List Question

Compute: $\frac3{7\cdot2}+\frac3{7\cdot12}+\dots$

Sum of increasing powers

Compute the sum $ \sum_{n=1}^{\infty}(\frac{2}{3})^{n-1}\frac{1}{3}e^{-\frac{2n(1-t)}{t}}$

Sum of certain consecutive numbers is $1000$.

Prove that $0!+1! + 2! + 3! + ..... + n!$ $\neq$ $p^\text{r}$, where $n \geqslant 3$ and $n$, $p$ and $r$ are three integers

Proof of a formula to calculate $1^p+2^p+...+n^p$ for arbitrary $n,p\in\mathbb{N}$

Show that $\sum_{k=1}^{p}{{p+1}\choose k}2^k=\sum_{k=1}^{p}{{p+1}\choose k}2^{p+1-k}$

Sum involving hypergeometric 2F2 function

Sum involving to combinatorics

Sum of square roots of the difference between an arbitrary integer and a square

How can I prove that this sum is invariant?

Sum to infinity of a Series

$\sum_{i=0}^{S/2} (S/2+3/2)^{2i}\frac{2\cdot\Gamma(a) \Gamma(i+0.5)}{\sqrt(\pi) \Gamma(a+i+1)} {S \choose 2i} B_{\frac{S-2i}{2}}^{1+S}(0.5+S/2) $

Misuse of triangle inequality?

Find the smallest $n \ge 1000$ such the sum $ 1+11+111+⋯+11⋯11 (n$ digits) is divisible by $101$

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