Question

Summation of series $\sum_{x=1}^{\infty}\frac{-\theta^x}{\ln(1-\theta)}$

score 169 · Answer 1 · 2026-04-15 18:53:21

169

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Summation of series $\sum_{x=1}^{\infty}\frac{-\theta^x}{\ln(1-\theta)}$

Published on 15 Apr 2026 - 18:53

score 39 · Answer 2 · 2026-04-10 23:03:10

39

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Finite arithmetic sequence problem

Published on 10 Apr 2026 - 23:03

score 136 · Answer 3 · 2026-04-16 20:55:15

136

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Proving that the sequence $\left \{ \frac{x_{n}}{y_{n}} \right \} \rightarrow \frac{x}{y}$

Published on 16 Apr 2026 - 20:55

score 75 · Answer 4 · 2026-04-13 15:46:52

If $\sum\limits_na_n$ converges, $f$ is a bijection and $|f(n)-n|<X$ for every $n$, for some fixed $X$, then $\sum\limits_na_{f(n)}$ converges

score 30 · Answer 5 · 2026-04-16 09:28:07

30

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difference of the arithmetical sequence problem

Published on 16 Apr 2026 - 9:28

score 81 · Answer 6 · 2026-04-17 13:02:24

81

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Arithmetic sequence problem $\frac{x+4}{x-3},\frac{x+6}{2},\frac{4}{x-2}$

Published on 17 Apr 2026 - 13:02

score 148 · Answer 7 · 2026-04-16 14:33:45

148

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Find the limit of the sequence $\{x_n \}$.

Published on 16 Apr 2026 - 14:33

score 37 · Answer 8 · 2026-04-10 12:46:41

37

Views

A question about a ratio of series

Published on 10 Apr 2026 - 12:46

score 28 · Answer 9 · 2026-05-16 05:19:02

28

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$\lim x^k = \alpha$ for all $k\ge 0$, $x^k\ge \beta$, then $\alpha\ge \beta$

Published on 16 May 2026 - 5:19

score 81 · Answer 10 · 2026-05-16 05:17:23

81

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What does the following sequence converge to?

Published on 16 May 2026 - 5:17

score 2.8k · Answer 11 · 2026-04-15 05:14:24

2.8k

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Solve : If a, b, c, d are in H.P. , then prove that ab + bc + cd = 3ad

Published on 15 Apr 2026 - 5:14

score 155 · Answer 12 · 2026-04-17 03:12:34

155

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Where does this series converges $1+\frac{1+2}{2!}+\frac{1+2+3}{3!}+\cdots$

Published on 17 Apr 2026 - 3:12

score 314 · Answer 13 · 2026-04-14 19:27:02

314

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Find the sum of the series $\sum\frac{1}{(n+1)(n+2)(n+3)...(n+k)}$

Published on 14 Apr 2026 - 19:27

score 135 · Answer 14 · 2026-04-17 09:57:35

135

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Sequence given by $a_0=2$, $a_{n+1} = a_n \cdot(a_n+1)$ not prime for all $n$

Published on 17 Apr 2026 - 9:57

score 215 · Answer 15 · 2026-04-12 08:13:07

215

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How do people sense that Cauchy-Schwarz inequality will be used in this question?

Published on 12 Apr 2026 - 8:13

List Question

Summation of series $\sum_{x=1}^{\infty}\frac{-\theta^x}{\ln(1-\theta)}$

Finite arithmetic sequence problem

Proving that the sequence $\left \{ \frac{x_{n}}{y_{n}} \right \} \rightarrow \frac{x}{y}$

If $\sum\limits_na_n$ converges, $f$ is a bijection and $|f(n)-n|<X$ for every $n$, for some fixed $X$, then $\sum\limits_na_{f(n)}$ converges

difference of the arithmetical sequence problem

Arithmetic sequence problem $\frac{x+4}{x-3},\frac{x+6}{2},\frac{4}{x-2}$

Find the limit of the sequence $\{x_n \}$.

A question about a ratio of series

$\lim x^k = \alpha$ for all $k\ge 0$, $x^k\ge \beta$, then $\alpha\ge \beta$

What does the following sequence converge to?

Solve : If a, b, c, d are in H.P. , then prove that ab + bc + cd = 3ad

Where does this series converges $1+\frac{1+2}{2!}+\frac{1+2+3}{3!}+\cdots$

Find the sum of the series $\sum\frac{1}{(n+1)(n+2)(n+3)...(n+k)}$

Sequence given by $a_0=2$, $a_{n+1} = a_n \cdot(a_n+1)$ not prime for all $n$

How do people sense that Cauchy-Schwarz inequality will be used in this question?

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