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Question on solutions of linear recurrences

score 34 · Answer 1 · 2019-01-26 14:30:59

34

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Question on solutions of linear recurrences

Published on 26 Jan 2019 - 14:30

score 88 · Answer 2 · 2019-01-27 12:03:34

88

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Explore for convergence the following recurrence: $x_{n+1} = (1-x_n)^2, x_1 = {1\over 2}, n\in\Bbb N$

Published on 27 Jan 2019 - 12:03

score 51 · Answer 3 · 2019-01-27 14:16:09

51

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What range of values for $q\in[0, 1]$ imply the convergence of $x_{n+1} = 1+qx_n^2$

Published on 27 Jan 2019 - 14:16

score 1.3k · Answer 4 · 2019-01-27 19:20:53

1.3k

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Solve the recurrence relation $a_n=2a_{n-1}+15a_{n-2}+8$ for $n\geq2$, $a_0=0$, $a_1=1$

Published on 27 Jan 2019 - 19:20

score 136 · Answer 5 · 2019-01-27 20:32:33

136

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Solve the recurrence relation $a_n=6a_{n-1}-9a_{n-2}-8$ for $n\geq2$, $a_0=0$, $a_1=1$

Published on 27 Jan 2019 - 20:32

score 39 · Answer 6 · 2019-01-28 00:05:13

39

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Find generating function for the following conditions $a_n=$ $(-2)^{2n-1}$ for $n\geq2$, $a_0=0$, $a_1=10$

Published on 28 Jan 2019 - 0:05

score 127 · Answer 7 · 2019-01-28 03:57:33

127

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Solve the recurrence $T(n) = 2T(n - 1) + n - 1$ by iteration

Published on 28 Jan 2019 - 3:57

score 69 · Answer 8 · 2019-01-28 14:28:57

69

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Combinatorial argument for words of length $n$

Published on 28 Jan 2019 - 14:28

score 105 · Answer 9 · 2019-01-28 15:27:03

105

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Solving number of subsets that meet the “spread out” condition using recurrence relation

Published on 28 Jan 2019 - 15:27

score 37 · Answer 10 · 2019-01-28 19:34:13

37

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System of linear recurrences; finding an explicit description for both sequences involved.

Published on 28 Jan 2019 - 19:34

score 1k · Answer 11 · 2019-01-30 14:01:41

1k

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Prove $x_{n+1} = b + {a\over x_n}$ converges and find its limit given $x_1>0,\ a > 0,\ b > 0,\ n\in\Bbb N$

Published on 30 Jan 2019 - 14:01

score 181 · Answer 12 · 2026-03-25 15:48:58

181

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How to solve following linear differential-difference equation?

Published on 25 Mar 2026 - 15:48

score 60 · Answer 13 · 2019-01-30 15:38:06

60

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Recurrence Relation $F(n) = (n-1)F(n-2)$

Published on 30 Jan 2019 - 15:38

score 177 · Answer 14 · 2019-01-31 16:17:01

177

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Prove $\lim_{n\to\infty} x_n = {1\over a}$ given $x_{n+1} = x_n(2 - ax_n)$, where $a > 0$ and $0<x_1 < {1\over a}$

Published on 31 Jan 2019 - 16:17

score 4.7k · Answer 15 · 2026-03-26 20:38:28

4.7k

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Recursive Relation $T(n)=T(n-1)+1$

Published on 26 Mar 2026 - 20:38

List Question

Question on solutions of linear recurrences

Explore for convergence the following recurrence: $x_{n+1} = (1-x_n)^2, x_1 = {1\over 2}, n\in\Bbb N$

What range of values for $q\in[0, 1]$ imply the convergence of $x_{n+1} = 1+qx_n^2$

Solve the recurrence relation $a_n=2a_{n-1}+15a_{n-2}+8$ for $n\geq2$, $a_0=0$, $a_1=1$

Solve the recurrence relation $a_n=6a_{n-1}-9a_{n-2}-8$ for $n\geq2$, $a_0=0$, $a_1=1$

Find generating function for the following conditions $a_n=$ $(-2)^{2n-1}$ for $n\geq2$, $a_0=0$, $a_1=10$

Solve the recurrence $T(n) = 2T(n - 1) + n - 1$ by iteration

Combinatorial argument for words of length $n$

Solving number of subsets that meet the “spread out” condition using recurrence relation

System of linear recurrences; finding an explicit description for both sequences involved.

Prove $x_{n+1} = b + {a\over x_n}$ converges and find its limit given $x_1>0,\ a > 0,\ b > 0,\ n\in\Bbb N$

How to solve following linear differential-difference equation?

Recurrence Relation $F(n) = (n-1)F(n-2)$

Prove $\lim_{n\to\infty} x_n = {1\over a}$ given $x_{n+1} = x_n(2 - ax_n)$, where $a > 0$ and $0<x_1 < {1\over a}$

Recursive Relation $T(n)=T(n-1)+1$

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