Question

Ratio of terms in simple geometric sequence appears inconsistent?

score 381 · Answer 1 · 2026-03-22 22:44:46

381

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Ratio of terms in simple geometric sequence appears inconsistent?

Published on 22 Mar 2026 - 22:44

score 72 · Answer 2 · 2026-03-23 01:32:46

72

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What is the value of $x_{100}$

Published on 23 Mar 2026 - 1:32

score 2k · Answer 3 · 2026-03-22 07:49:26

2k

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$a, 1, b$ are three consecutive terms of an arithmetic series, find $a, b$ and $S$ of the infinite geometric series

Published on 22 Mar 2026 - 7:49

score 153 · Answer 4 · 2026-03-19 16:34:17

153

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Proving in different ways that $n^{n-1}-1$ is divisible by $(n-1)^2$.

Published on 19 Mar 2026 - 16:34

score 114 · Answer 5 · 2026-03-22 20:34:23

114

Views

Probability of geometric random variables in certain order

Published on 22 Mar 2026 - 20:34

score 124 · Answer 6 · 2026-03-22 15:16:59

124

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Derivative of a function $y(x)= \sum\limits_{n=1}^\infty nx^{-n}$

Published on 22 Mar 2026 - 15:16

score 233 · Answer 7 · 2026-03-23 03:00:37

233

Views

Upper bound on a series: $\sum_{k = M}^{\infty} (a/\sqrt{k})^k$

Published on 23 Mar 2026 - 3:00

score 2.8k · Answer 8 · 2026-03-23 03:51:41

2.8k

Views

Combined geometric and arithmetic series partial sum

Published on 23 Mar 2026 - 3:51

score 62 · Answer 9 · 2026-03-22 19:42:47

62

Views

Existence of a geometric series

Published on 22 Mar 2026 - 19:42

score 91 · Answer 10 · 2026-03-22 18:25:00

91

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Find the value of $R$ such that $\sum_{n=0}^{\infty} \frac{x^n}{n! \cdot (\ln 3)^n} = 3^x, \forall x \in (-R,R)$

Published on 22 Mar 2026 - 18:25

score 116 · Answer 11 · 2026-03-22 16:28:44

116

Views

Convergence of $\sum_{k=0}^{\infty} a^k\cdot b^{k^2}$

Published on 22 Mar 2026 - 16:28

score 43 · Answer 12 · 2026-03-23 00:18:47

43

Views

Proof of divergence

Published on 23 Mar 2026 - 0:18

score 335 · Answer 13 · 2026-03-23 13:45:56

335

Views

Find the sum, the sum of the squares, and the sum of the cubes for the first $250$ natural numbers.

Published on 23 Mar 2026 - 13:45

score 59 · Answer 14 · 2026-03-23 05:35:33

59

Views

Is there anything in the proof for $\frac{a}{1-r}$ to show that it won't work for $|r|\gt1$ when summing an infinite geometric series?

Published on 23 Mar 2026 - 5:35

score 1.8k · Answer 15 · 2026-03-23 06:06:26

1.8k

Views

Geometric and Arithmetic Sequence Problem

Published on 23 Mar 2026 - 6:06

List Question

Ratio of terms in simple geometric sequence appears inconsistent?

What is the value of $x_{100}$

$a, 1, b$ are three consecutive terms of an arithmetic series, find $a, b$ and $S$ of the infinite geometric series

Proving in different ways that $n^{n-1}-1$ is divisible by $(n-1)^2$.

Probability of geometric random variables in certain order

Derivative of a function $y(x)= \sum\limits_{n=1}^\infty nx^{-n}$

Upper bound on a series: $\sum_{k = M}^{\infty} (a/\sqrt{k})^k$

Combined geometric and arithmetic series partial sum

Existence of a geometric series

Find the value of $R$ such that $\sum_{n=0}^{\infty} \frac{x^n}{n! \cdot (\ln 3)^n} = 3^x, \forall x \in (-R,R)$

Convergence of $\sum_{k=0}^{\infty} a^k\cdot b^{k^2}$

Proof of divergence

Find the sum, the sum of the squares, and the sum of the cubes for the first $250$ natural numbers.

Is there anything in the proof for $\frac{a}{1-r}$ to show that it won't work for $|r|\gt1$ when summing an infinite geometric series?

Geometric and Arithmetic Sequence Problem

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