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Prove that $s_{n+1}=s_n+\frac{1}{2}(x-s_n^2)$ converges if $0<x<1$.

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#real-analysis #recurrence-relations
108
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How are these terms derived using recurrence relations in the Gambler's ruin example?

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#stochastic-processes #recurrence-relations #markov-chains #markov-process #stopping-times
158
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Using generating functions to solve divide-and-conquer recurrences

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#recurrence-relations #generating-functions
351
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Finding nth term when recurrence relation is given

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#sequences-and-series #recurrence-relations #alternative-proof
1.5k
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How to solve homogeneous linear recurrence relations with constant coefficients?

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#sequences-and-series #recurrence-relations #closed-form #fibonacci-numbers #faq
311
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How To Solve $f(n)=6f(n-1)-8f(n-2)+7*2^{4n-8}-3*2^{3n-5}$

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#recurrence-relations
58
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Solve this recurrence relation : $a_n$ = $a_{n-1}+ n^2 \times 3^n$

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#combinatorics #recurrence-relations
23
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Solving special recurrence relation in two variables?

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#recurrence-relations
65
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Recursive induction inequality

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#inequality #induction #recurrence-relations
37
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Coefficients for Polynomials Giving Number of Paths of an LR Grid

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#combinatorics #functions #recurrence-relations #binomial-coefficients #generating-functions
73
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Prove $\lim_{n \rightarrow \infty} \frac{u_{n+1}}{u_{n}} = C,$ with $u_{0}=1$ and $u_{1}=2$.

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#real-analysis #recurrence-relations #fibonacci-numbers
104
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Tiling a $2\times 6$ grid

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#sequences-and-series #combinatorics #recurrence-relations #tiling
76
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The positive sequence: $a_{n+1} =\sqrt{1 + \frac{a^{2}_{n}}{4}}$. Is strictly increasing and bounded above?

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#real-analysis #sequences-and-series #recurrence-relations #upper-lower-bounds #monotone-functions
42
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How to find the formula of the summation of i(i + 1) over 1 to N using Induction

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#proof-writing #induction #proof-explanation #recurrence-relations #solution-verification
17
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Tools for comparing two linear recurrence relations

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#sequences-and-series #recurrence-relations

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