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Recurrence relations with fractions

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#sequences-and-series #recurrence-relations
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Discrete math Exponential Generating Series

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Explicit Formula for a Recurrence Relation for {2, 5, 9, 14, ...} (Chartrand Ex 6.46[b])

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#recurrence-relations #intuition
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Is this a recurrence for the characteristic sequence of composite numbers?

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#sequences-and-series #prime-numbers #recurrence-relations
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Characterising spaces of linear recurrent sequences.

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#linear-algebra #recurrence-relations
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Express sequence in closed type

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If $x_1<x_2$ are arbitrary real numbers, and $x_n=\frac{1}{2}(x_{n-2}+x_{n-1})$ for $n>2$, show that $(x_n)$ is convergent.

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#real-analysis #sequences-and-series #recurrence-relations
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A simple recursion equation

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#recurrence-relations
255
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The explicit solution of the recurrence $f(2n) = f(2n + 1) = 2f(n)$ with $f(1) = 1$

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#recurrence-relations
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Analyzing convergence of a simple difference equation

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#convergence-divergence #recurrence-relations
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using the recurrence relation

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#recurrence-relations
183
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Proof for recursively defined sets

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How to find a closed form solution to a recurrence of the following form?

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#sequences-and-series #discrete-mathematics #algorithms #recurrence-relations #closed-form
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Limit $ \sqrt{2\sqrt{2\sqrt{2 \cdots}}}$

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#calculus #sequences-and-series #limits #recurrence-relations #nested-radicals
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How to find a closed form formula for the following recurrence relation?

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#discrete-mathematics #algorithms #recurrence-relations #recursive-algorithms

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