List questions from recurrence-relations

Published on 24 Oct 2014 - 2:18

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Solving inhomogenous first order difference equation (recurrence relation)

Published on 24 Oct 2014 - 18:59

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Recurrence Relation Theta bound

Published on 25 Oct 2014 - 8:48

747

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Solving $ax_{n+1}+bx_n+cx_{n-1}=0$

Published on 25 Oct 2014 - 13:45

100

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Proving that $\lim\limits_{n \to \infty} \frac{E_{n+1}}{E_n}=2^{-2/3}$

Published on 25 Oct 2014 - 14:11

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Find all solutions of recurrence relation

Published on 25 Oct 2014 - 15:15

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General solution of recurrence relation if two equal roots

Published on 25 Oct 2014 - 16:37

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Show that a solution is the general solution.

Published on 25 Oct 2014 - 17:20

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How to give a good guess to the recurrence relation problem

Published on 26 Mar 2026 - 21:35

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Prove that the sequence $a_{n+1}=\sqrt{2a_n+3},$ $a_1=1$, is bounded.

Published on 25 Oct 2014 - 23:18

107

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Validity of approximating a difference equation with a differential equation

Published on 26 Oct 2014 - 0:29

95

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Difference equation, special solution

Published on 26 Oct 2014 - 14:16

71

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Given: $a_{1} =1 $ and $a_{n+1}=0.5(a_{n}+x/a_{n})$ How to prove that $\lim_{n \to \infty}a_{n}=\sqrt{x}$?

Published on 26 Oct 2014 - 16:40

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Complexities of Recurrences in the form $t(n) = t(\alpha n) + t(\beta n) + cn$

Published on 28 Mar 2026 - 9:34

175

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Difference Equation, verify expression is solution to the equation

Published on 27 Oct 2014 - 0:04

List Question

Repeated substitution gone wrong

Solving inhomogenous first order difference equation (recurrence relation)

Recurrence Relation Theta bound

Solving $ax_{n+1}+bx_n+cx_{n-1}=0$

Proving that $\lim\limits_{n \to \infty} \frac{E_{n+1}}{E_n}=2^{-2/3}$

Find all solutions of recurrence relation

General solution of recurrence relation if two equal roots

Show that a solution is the general solution.

How to give a good guess to the recurrence relation problem

Prove that the sequence $a_{n+1}=\sqrt{2a_n+3},$ $a_1=1$, is bounded.

Validity of approximating a difference equation with a differential equation

Difference equation, special solution

Given: $a_{1} =1 $ and $a_{n+1}=0.5(a_{n}+x/a_{n})$ How to prove that $\lim_{n \to \infty}a_{n}=\sqrt{x}$?

Complexities of Recurrences in the form $t(n) = t(\alpha n) + t(\beta n) + cn$

Difference Equation, verify expression is solution to the equation

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