Question

How to find the value this sum converges to?$\sum_{n=0}^{\infty}n·\frac{3^{n-1}}{4^{3n+1}} $

score 45 · Answer 1 · 2019-01-27 11:48:24

45

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How to find the value this sum converges to?$\sum_{n=0}^{\infty}n·\frac{3^{n-1}}{4^{3n+1}} $

Published on 27 Jan 2019 - 11:48

score 214 · Answer 2 · 2026-03-26 08:14:50

214

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Infimum of sum of two values.

Published on 26 Mar 2026 - 8:14

score 79 · Answer 3 · 2019-01-27 18:20:34

79

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Computing $\sum_{i=1}^k{i\cdot c^i}$

Published on 27 Jan 2019 - 18:20

score 57 · Answer 4 · 2019-01-28 02:17:16

57

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How do I prove this identity for summations?

Published on 28 Jan 2019 - 2:17

score 197 · Answer 5 · 2019-01-28 05:18:32

197

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Simplifying the summation $ (3^i\sqrt{n/3^i})/\log_2(n/3^i)$ from $i=0 \text{ to }k-1$

Published on 28 Jan 2019 - 5:18

score 42 · Answer 6 · 2026-03-25 23:37:10

42

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Is there a natural number satisfying the given condition?

Published on 25 Mar 2026 - 23:37

score 104 · Answer 7 · 2026-03-27 07:48:31

104

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Attempting to prove the following inequality

Published on 27 Mar 2026 - 7:48

score 97 · Answer 8 · 2019-01-28 16:42:45

97

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How to find the value $\sum\limits_{n=1}^{\infty}\frac{(-1)^{n}}{2n-1}$ converges to?

Published on 28 Jan 2019 - 16:42

score 169 · Answer 9 · 2026-03-27 10:34:19

169

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Summation of combination of binomial coefficient

Published on 27 Mar 2026 - 10:34

score 36 · Answer 10 · 2019-01-28 18:13:13

36

Views

Where's the error in this simple proof of this basic statement about summation?

Published on 28 Jan 2019 - 18:13

score 1.5k · Answer 11 · 2019-01-28 18:48:16

1.5k

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Find the exact value of the infinite series

Published on 28 Jan 2019 - 18:48

score 146 · Answer 12 · 2026-03-25 18:04:38

146

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Can a summation be transferred into the denominator?

Published on 25 Mar 2026 - 18:04

score 102 · Answer 13 · 2026-03-26 12:37:15

102

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How to write $\left(x\frac{d}{dx}\right)^n $ in terms of Stirling numbers of the first kind?

Published on 26 Mar 2026 - 12:37

score 341 · Answer 14 · 2019-01-29 19:35:59

341

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derivative w.r.t summation limits

Published on 29 Jan 2019 - 19:35

score 107 · Answer 15 · 2019-01-29 20:50:32

107

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Intuitively, why is $\sum_{r=0}^n r^3 =\bigg(\sum_{r=0}^n r \bigg)^2$?

Published on 29 Jan 2019 - 20:50

List Question

How to find the value this sum converges to?$\sum_{n=0}^{\infty}n·\frac{3^{n-1}}{4^{3n+1}} $

Infimum of sum of two values.

Computing $\sum_{i=1}^k{i\cdot c^i}$

How do I prove this identity for summations?

Simplifying the summation $ (3^i\sqrt{n/3^i})/\log_2(n/3^i)$ from $i=0 \text{ to }k-1$

Is there a natural number satisfying the given condition?

Attempting to prove the following inequality

How to find the value $\sum\limits_{n=1}^{\infty}\frac{(-1)^{n}}{2n-1}$ converges to?

Summation of combination of binomial coefficient

Where's the error in this simple proof of this basic statement about summation?

Find the exact value of the infinite series

Can a summation be transferred into the denominator?

How to write $\left(x\frac{d}{dx}\right)^n $ in terms of Stirling numbers of the first kind?

derivative w.r.t summation limits

Intuitively, why is $\sum_{r=0}^n r^3 =\bigg(\sum_{r=0}^n r \bigg)^2$?

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