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summation question simple

score 38 · Answer 1 · 2018-10-27 19:55:02

38

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summation question simple

Published on 27 Oct 2018 - 19:55

score 174 · Answer 2 · 2026-03-27 00:23:15

174

Views

Sum of the series $(i)$ and $(ii)$

Published on 27 Mar 2026 - 0:23

score 442 · Answer 3 · 2026-03-25 01:18:40

442

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Sum the first $n$ terms of the series $1 \cdot 3 \cdot 2^2 + 2 \cdot 4 \cdot 3^2 + 3 \cdot 5 \cdot 4^2 + \cdots$

Published on 25 Mar 2026 - 1:18

score 106 · Answer 4 · 2026-04-01 14:33:12

106

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Covariance intuition to formula

Published on 01 Apr 2026 - 14:33

score 89 · Answer 5 · 2026-03-25 04:43:22

89

Views

Sum to $n$ terms the series $\frac{1}{3\cdot9\cdot11}+\frac{1}{5\cdot11\cdot13}+\frac{1}{7\cdot13\cdot15}+\cdots$.

Published on 25 Mar 2026 - 4:43

score 208 · Answer 6 · 2026-03-25 05:05:47

208

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Sum of $n$ terms of the series: $30+144+420+960+1890+3360+\cdots$

Published on 25 Mar 2026 - 5:05

score 275 · Answer 7 · 2026-03-28 08:09:54

275

Views

If $ \int_{0}^{1} \frac{\ln x}{1-x^2} dx = -\frac{π^2}{\lambda} $ find $\lambda$ given that $\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{π^2}{6} $

Published on 28 Mar 2026 - 8:09

score 902 · Answer 8 · 2018-10-28 20:53:00

902

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Approximation of sum $\sum_{j=1}^{n-1}\frac{2j}{(n-j+1)(j+n)}$

Published on 28 Oct 2018 - 20:53

score 72 · Answer 9 · 2026-03-29 03:35:50

72

Views

Finding the sum $\sum_{n=0}^\infty\frac{(x+1)^{n+2}}{(n+2)!}$. I cannot use my usual methods that I am use to.

Published on 29 Mar 2026 - 3:35

score 1.1k · Answer 10 · 2026-03-28 21:06:45

1.1k

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Finding the first 3 terms of a power series... I am confused as to whether I can just plug numbers in or if there is more.

Published on 28 Mar 2026 - 21:06

score 104 · Answer 11 · 2026-03-26 01:02:37

104

Views

Finite sum involving trigonometric functions

Published on 26 Mar 2026 - 1:02

score 1.1k · Answer 12 · 2026-03-26 13:01:52

1.1k

Views

How to bound the summation by an integral

Published on 26 Mar 2026 - 13:01

score 119 · Answer 13 · 2026-03-25 05:41:58

119

Views

Nature of constant $c$ from $\lim\limits_{n\to\infty}\left(\sum\limits_{k=1}^{n}(1/k)^{1/k}-n+\frac{\log^2(n)}{2}-1\right)=c$

Published on 25 Mar 2026 - 5:41

score 345 · Answer 14 · 2026-03-20 06:42:50

345

Views

Truncation of infinite summation involving a probability mass function

Published on 20 Mar 2026 - 6:42

score 355 · Answer 15 · 2026-03-25 19:06:42

355

Views

Proof of the formula for $\sin \theta + 2\sin 2\theta +\cdots + n\sin n\theta$

Published on 25 Mar 2026 - 19:06

List Question

summation question simple

Sum of the series $(i)$ and $(ii)$

Sum the first $n$ terms of the series $1 \cdot 3 \cdot 2^2 + 2 \cdot 4 \cdot 3^2 + 3 \cdot 5 \cdot 4^2 + \cdots$

Covariance intuition to formula

Sum to $n$ terms the series $\frac{1}{3\cdot9\cdot11}+\frac{1}{5\cdot11\cdot13}+\frac{1}{7\cdot13\cdot15}+\cdots$.

Sum of $n$ terms of the series: $30+144+420+960+1890+3360+\cdots$

If $ \int_{0}^{1} \frac{\ln x}{1-x^2} dx = -\frac{π^2}{\lambda} $ find $\lambda$ given that $\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{π^2}{6} $

Approximation of sum $\sum_{j=1}^{n-1}\frac{2j}{(n-j+1)(j+n)}$

Finding the sum $\sum_{n=0}^\infty\frac{(x+1)^{n+2}}{(n+2)!}$. I cannot use my usual methods that I am use to.

Finding the first 3 terms of a power series... I am confused as to whether I can just plug numbers in or if there is more.

Finite sum involving trigonometric functions

How to bound the summation by an integral

Nature of constant $c$ from $\lim\limits_{n\to\infty}\left(\sum\limits_{k=1}^{n}(1/k)^{1/k}-n+\frac{\log^2(n)}{2}-1\right)=c$

Truncation of infinite summation involving a probability mass function

Proof of the formula for $\sin \theta + 2\sin 2\theta +\cdots + n\sin n\theta$

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