List questions from recurrence-relations

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Real analysis : A problem on convergence of a recursively defined sequence

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Form a general formula to find the $n$th term of a recursive function given by $A_n = 3A_{n−1} + 2n$

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Proving a recursive relationship

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Deriving values for the Riemann zeta function on even natural numbers through recurrence

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Recurrence relation: $a_n = 3a_{n-1} + 2n, a_0 = 1$

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If $a_n = 2^{n-1}(2^{n-1}-1)a_{n-1}$, $a_1=1$, show that $n \mid a_n$

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Recurrence relation question (generating direct formula)

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Expected value of the number of heads in n tosses, with a twist

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Problem involving harmonic number

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On a similar recurrence to the Lucas-Lehmer test: the variation involving the multiplicative function $\operatorname{rad}(n)$

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Recurrence series with matrix for $a_n=a_{n-1}-2a_{n-2}$

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Asymptotic behavior of the geometric sequence $U_{n+1}=QU_n$ in a probability problem

Published on 25 Mar 2026 - 18:47

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Express sequence as a function

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What is the $n$-th difference of $\sin(ax)$

Published on 13 Mar 2018 - 18:47

List Question

Solution to a second order difference equation

Real analysis : A problem on convergence of a recursively defined sequence

Form a general formula to find the $n$th term of a recursive function given by $A_n = 3A_{n−1} + 2n$

Proving a recursive relationship

Deriving values for the Riemann zeta function on even natural numbers through recurrence

Recurrence relation: $a_n = 3a_{n-1} + 2n, a_0 = 1$

If $a_n = 2^{n-1}(2^{n-1}-1)a_{n-1}$, $a_1=1$, show that $n \mid a_n$

Recurrence relation question (generating direct formula)

Expected value of the number of heads in n tosses, with a twist

Problem involving harmonic number

On a similar recurrence to the Lucas-Lehmer test: the variation involving the multiplicative function $\operatorname{rad}(n)$

Recurrence series with matrix for $a_n=a_{n-1}-2a_{n-2}$

Asymptotic behavior of the geometric sequence $U_{n+1}=QU_n$ in a probability problem

Express sequence as a function

What is the $n$-th difference of $\sin(ax)$

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