Question

Find the sum of the series $\sum_{k=0}^\infty \frac{1}{2^{k+3}}$

score 131 · Answer 1 · 2026-04-13 01:14:12

131

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Find the sum of the series $\sum_{k=0}^\infty \frac{1}{2^{k+3}}$

Published on 13 Apr 2026 - 1:14

score 1.4k · Answer 2 · 2026-04-14 14:50:50

1.4k

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What is the closed form of this sum?

Published on 14 Apr 2026 - 14:50

score 44 · Answer 3 · 2026-04-08 17:05:49

44

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Adding complex numbers in a sum

Published on 08 Apr 2026 - 17:05

score 214 · Answer 4 · 2026-03-26 12:58:29

214

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Geometric Series TMUA exam question. Where did I go wrong.

Published on 26 Mar 2026 - 12:58

score 181 · Answer 5 · 2026-04-11 06:34:19

181

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Axiomatic Treatment Of Sum Operators Which Work On Divergent Series

Published on 11 Apr 2026 - 6:34

score 93 · Answer 6 · 2026-04-12 21:51:00

93

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How do you find the general expression of a derived sum?

Published on 12 Apr 2026 - 21:51

score 81 · Answer 7 · 2026-04-17 04:32:19

81

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Prove that $\sum_{j=1}^{\infty} \left[ \frac{n}{2^j}+\frac{1}{2} \right] = n$ for interger $n\ge 1$

Published on 17 Apr 2026 - 4:32

score 44 · Answer 8 · 2026-04-16 01:39:25

Let $k,l,n\in\mathbb{N}$ with $k+1\leq n$. Find a general formula for $\displaystyle\sum_{i=0}^l \dfrac{l\choose i}{n\choose {k+i}}$

score 146 · Answer 9 · 2026-04-16 22:02:19

146

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Prove that for a natural number $n$ is true $1^3 + 2^3 +...+ n^3 = (1 + 2 +...+ n)^2$

Published on 16 Apr 2026 - 22:02

score 141 · Answer 10 · 2026-03-26 09:49:17

141

Views

An inequality flip involving logarithms base 0.92

Published on 26 Mar 2026 - 9:49

score 43 · Answer 11 · 2026-04-13 15:25:21

43

Views

Why is a sum being approximated by an integral in part of a derivation of the Fourier inversion formula from the Fourier series formulae?

Published on 13 Apr 2026 - 15:25

score 474 · Answer 12 · 2026-04-17 13:58:02

Simplify: $\frac{\sqrt{10+\sqrt{1}}+\sqrt{10+\sqrt{2}}+\ldots+\sqrt{10+\sqrt{99}}}{\sqrt{10-\sqrt{1}}+\sqrt{10-\sqrt{2}}+\ldots+\sqrt{10-\sqrt{99}}}$

score 41 · Answer 13 · 2026-04-09 05:15:07

41

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Can not solve Summation equation

Published on 09 Apr 2026 - 5:15

score 45 · Answer 14 · 2026-03-26 11:18:12

45

Views

Find the sum of the series $\sum_{k=0}^\infty \frac{2^{k+3}}{3^{k}}$

Published on 26 Mar 2026 - 11:18

score 88 · Answer 15 · 2026-04-17 04:42:59

88

Views

Show that the series diverges $1 + \frac{3}{2} +\frac{9}{4} + \frac{27}{8} +\frac{81}{16}+\cdots$

Published on 17 Apr 2026 - 4:42

List Question

Find the sum of the series $\sum_{k=0}^\infty \frac{1}{2^{k+3}}$

What is the closed form of this sum?

Adding complex numbers in a sum

Geometric Series TMUA exam question. Where did I go wrong.

Axiomatic Treatment Of Sum Operators Which Work On Divergent Series

How do you find the general expression of a derived sum?

Prove that $\sum_{j=1}^{\infty} \left[ \frac{n}{2^j}+\frac{1}{2} \right] = n$ for interger $n\ge 1$

Let $k,l,n\in\mathbb{N}$ with $k+1\leq n$. Find a general formula for $\displaystyle\sum_{i=0}^l \dfrac{l\choose i}{n\choose {k+i}}$

Prove that for a natural number $n$ is true $1^3 + 2^3 +...+ n^3 = (1 + 2 +...+ n)^2$

An inequality flip involving logarithms base 0.92

Why is a sum being approximated by an integral in part of a derivation of the Fourier inversion formula from the Fourier series formulae?

Simplify: $\frac{\sqrt{10+\sqrt{1}}+\sqrt{10+\sqrt{2}}+\ldots+\sqrt{10+\sqrt{99}}}{\sqrt{10-\sqrt{1}}+\sqrt{10-\sqrt{2}}+\ldots+\sqrt{10-\sqrt{99}}}$

Can not solve Summation equation

Find the sum of the series $\sum_{k=0}^\infty \frac{2^{k+3}}{3^{k}}$

Show that the series diverges $1 + \frac{3}{2} +\frac{9}{4} + \frac{27}{8} +\frac{81}{16}+\cdots$

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