Question

Examine the convergence of a sequence ${a_{n}}$: $a_{n+1}=a_{n}-\sin(a_{n}),0\le a_{1}<\pi$

score 81 · Answer 1 · 2026-04-14 01:14:55

81

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Examine the convergence of a sequence ${a_{n}}$: $a_{n+1}=a_{n}-\sin(a_{n}),0\le a_{1}<\pi$

Published on 14 Apr 2026 - 1:14

score 434 · Answer 2 · 2026-04-12 05:04:56

434

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Sine Cosine Sequence?

Published on 12 Apr 2026 - 5:04

score 32 · Answer 3 · 2026-04-17 08:21:45

32

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Solving nonlinear first-order difference equation $ d_m = p_0 + p_1d_{m-1} + p_2(d_{m-1})^2 $ (extinction problem)

Published on 17 Apr 2026 - 8:21

score 1.2k · Answer 4 · 2026-04-09 09:49:41

1.2k

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How to solve recurrence equation with logarithms using the Master Theorem

Published on 09 Apr 2026 - 9:49

score 99 · Answer 5 · 2026-04-15 17:51:26

99

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Examine the convergence of a sequence $\{a_{n}\}$ which is given by $a_{1}=a>0,a_{2}=b>0, a_{n+2}=\sqrt{a_{n+1}a_{n}},n\ge 1$

Published on 15 Apr 2026 - 17:51

score 898 · Answer 6 · 2026-04-11 13:19:24

898

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Recurrence relation with characteristic equation that has only 1 root and complex roots

Published on 11 Apr 2026 - 13:19

score 6k · Answer 7 · 2026-04-15 18:02:46

6k

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If $T(n)= T(n-1) + 2T(n-2)$

Published on 15 Apr 2026 - 18:02

score 285 · Answer 8 · 2026-04-12 06:18:47

285

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Help with solving this Recurrence Relation

Published on 12 Apr 2026 - 6:18

score 403 · Answer 9 · 2026-04-11 08:13:32

403

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Probability dice game, multiple turns

Published on 11 Apr 2026 - 8:13

score 5.5k · Answer 10 · 2026-04-13 07:23:58

5.5k

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Recursive random draw

Published on 13 Apr 2026 - 7:23

score 265 · Answer 11 · 2026-04-12 02:05:00

265

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Can this recurrence relation be solved with generating functions?

Published on 12 Apr 2026 - 2:05

score 225 · Answer 12 · 2026-04-17 11:12:29

225

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Solving recurrence similar to Catalan number recurrence

Published on 17 Apr 2026 - 11:12

score 29 · Answer 13 · 2026-04-11 00:20:34

29

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Recurrence Problem Division Simplification Question

Published on 11 Apr 2026 - 0:20

score 84 · Answer 14 · 2026-04-16 16:12:44

84

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Prove $ \lim\limits_{x\to\infty}y_{n}=\sqrt{x}$ if $y_{n}=\frac{1}{2}\left(y_{n-1}+\frac{x}{y_{n-1}}\right),n\in \mathbb{N},x>0,y_{0}>0$

Published on 16 Apr 2026 - 16:12

score 43 · Answer 15 · 2026-04-17 08:06:07

43

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Prove that $\lim\limits_{n\to\infty}y_{n}=\frac{1}{x}$ if $ y_{n}=y_{n-1}(2-xy_{n-1}), y_{i}>0,(i\in \mathbb{N}),x>0$

Published on 17 Apr 2026 - 8:06

List Question

Examine the convergence of a sequence ${a_{n}}$: $a_{n+1}=a_{n}-\sin(a_{n}),0\le a_{1}<\pi$

Sine Cosine Sequence?

Solving nonlinear first-order difference equation $ d_m = p_0 + p_1d_{m-1} + p_2(d_{m-1})^2 $ (extinction problem)

How to solve recurrence equation with logarithms using the Master Theorem

Examine the convergence of a sequence $\{a_{n}\}$ which is given by $a_{1}=a>0,a_{2}=b>0, a_{n+2}=\sqrt{a_{n+1}a_{n}},n\ge 1$

Recurrence relation with characteristic equation that has only 1 root and complex roots

If $T(n)= T(n-1) + 2T(n-2)$

Help with solving this Recurrence Relation

Probability dice game, multiple turns

Recursive random draw

Can this recurrence relation be solved with generating functions?

Solving recurrence similar to Catalan number recurrence

Recurrence Problem Division Simplification Question

Prove $ \lim\limits_{x\to\infty}y_{n}=\sqrt{x}$ if $y_{n}=\frac{1}{2}\left(y_{n-1}+\frac{x}{y_{n-1}}\right),n\in \mathbb{N},x>0,y_{0}>0$

Prove that $\lim\limits_{n\to\infty}y_{n}=\frac{1}{x}$ if $ y_{n}=y_{n-1}(2-xy_{n-1}), y_{i}>0,(i\in \mathbb{N}),x>0$

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