Question

Sum the series $\frac{n}{1⋅2⋅3}+\frac{n-1}{2⋅3⋅4}+ \frac{n-2}{3⋅4⋅5}+...\text{(upto n terms)}$

score 107 · Answer 1 · 2018-09-03 06:17:16

107

Views

Sum the series $\frac{n}{1⋅2⋅3}+\frac{n-1}{2⋅3⋅4}+ \frac{n-2}{3⋅4⋅5}+...\text{(upto n terms)}$

Published on 03 Sep 2018 - 6:17

score 161 · Answer 2 · 2018-09-03 16:48:33

161

Views

Does $\frac{n}{\sum\limits_{k=1}^{n}\Big(\frac{k}{k+1}\Big)^k}$ converge?

Published on 03 Sep 2018 - 16:48

score 191 · Answer 3 · 2018-09-03 18:35:05

191

Views

Sum the series $\frac{3}{1⋅2⋅4}+\frac{4}{2⋅3⋅5}+ \frac{5}{3⋅4⋅6}+...\text{(upto n terms)}$

Published on 03 Sep 2018 - 18:35

score 68 · Answer 4 · 2026-03-28 10:35:24

68

Views

Proving sum of recurrence sequence converges to $2^{-55}$

Published on 28 Mar 2026 - 10:35

score 203 · Answer 5 · 2026-03-27 09:13:12

203

Views

Multi-term exponential curve fit

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score 81 · Answer 6 · 2026-03-27 00:43:58

81

Views

General formula for Differentiation Operator

Published on 27 Mar 2026 - 0:43

score 89 · Answer 7 · 2026-03-26 20:40:45

89

Views

$\sum_{k=0}^n \binom{n}{k}x^k(1-x)^{n-k}k$?

Published on 26 Mar 2026 - 20:40

score 34 · Answer 8 · 2026-03-29 16:23:10

34

Views

Differentiating $C=m^{1/{1-\theta}}\cdot\Big(\sum_{i=1}^m C_i^{{\theta-1}/\theta}\Big)^{\theta/{\theta-1}}$

Published on 29 Mar 2026 - 16:23

score 166 · Answer 9 · 2026-03-27 07:12:09

166

Views

How to manipulate the given sum using Snake Oil method?

Published on 27 Mar 2026 - 7:12

score 452 · Answer 10 · 2026-03-25 06:12:59

452

Views

Closed form of integral over fractional part $\int_0^1 \left\{\frac{1}{2}\left(x+\frac{1}{x}\right)\right\}\,dx$

Published on 25 Mar 2026 - 6:12

score 189 · Answer 11 · 2026-03-27 20:00:58

189

Views

Password Combinatorics

Published on 27 Mar 2026 - 20:00

score 355 · Answer 12 · 2026-03-27 13:19:20

355

Views

Rigorous definition of $\sum_{i=1}^n a_i$

Published on 27 Mar 2026 - 13:19

score 86 · Answer 13 · 2026-03-25 13:59:36

86

Views

Turning a product into a sum

Published on 25 Mar 2026 - 13:59

score 99 · Answer 14 · 2018-09-05 20:28:36

99

Views

Calculate powers of sums

Published on 05 Sep 2018 - 20:28

score 208 · Answer 15 · 2018-09-06 14:07:31

208

Views

Shift of summation variable in sum over binomial coefficients.

Published on 06 Sep 2018 - 14:07

List Question

Sum the series $\frac{n}{1⋅2⋅3}+\frac{n-1}{2⋅3⋅4}+ \frac{n-2}{3⋅4⋅5}+...\text{(upto n terms)}$

Does $\frac{n}{\sum\limits_{k=1}^{n}\Big(\frac{k}{k+1}\Big)^k}$ converge?

Sum the series $\frac{3}{1⋅2⋅4}+\frac{4}{2⋅3⋅5}+ \frac{5}{3⋅4⋅6}+...\text{(upto n terms)}$

Proving sum of recurrence sequence converges to $2^{-55}$

Multi-term exponential curve fit

General formula for Differentiation Operator

$\sum_{k=0}^n \binom{n}{k}x^k(1-x)^{n-k}k$?

Differentiating $C=m^{1/{1-\theta}}\cdot\Big(\sum_{i=1}^m C_i^{{\theta-1}/\theta}\Big)^{\theta/{\theta-1}}$

How to manipulate the given sum using Snake Oil method?

Closed form of integral over fractional part $\int_0^1 \left\{\frac{1}{2}\left(x+\frac{1}{x}\right)\right\}\,dx$

Password Combinatorics

Rigorous definition of $\sum_{i=1}^n a_i$

Turning a product into a sum

Calculate powers of sums

Shift of summation variable in sum over binomial coefficients.

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