List questions from recurrence-relations

Published on 13 Apr 2026 - 10:50

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Relation between first order recurrence relations and functions?

Published on 17 Apr 2026 - 7:50

126

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Induction for an inequality

Published on 10 Apr 2026 - 14:58

37

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Prove or Disprove that $T(i)$ is a decreasing function of $i$

Published on 15 Apr 2026 - 9:25

109

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"No two $0$'s together" versus "No two consecutive $0$'s"

Published on 26 Mar 2026 - 21:12

119

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Solve Recurrence Equation: $T(n)=T(n−4)+n^2$

Published on 14 Apr 2026 - 8:37

187

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Solution to the recurrence $a_n = 2a_{n - 1} - 2^n$

Published on 15 Apr 2026 - 16:10

146

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Proof of a discrete Gronwall-type inequality

Published on 13 Apr 2026 - 9:38

46

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The recurrence of a lazy random walk is related to its subrandom walk.

Published on 10 Apr 2026 - 17:15

59

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Vanquishing a dragon using one dimensional random walk with variable path lengths

Published on 11 Apr 2026 - 3:33

230

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Find the general term of $a_{2k}=pa_k+qa_{k+1},a_{2k+1}=ra_k+sa_{k+1}$

Published on 15 Apr 2026 - 15:53

68

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Induction Proof of Loop Invariance Given the Invariance

Published on 09 Apr 2026 - 3:38

137

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Find general solution of $u_{n+1}=4u_n(1-u_n)$

Published on 16 Apr 2026 - 11:53

149

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Closed form of $a_1=x$, $a_n=\left\lfloor\dfrac{(n+2)a_{n-1}-2}{n}\right\rfloor,n\ge 2$

Published on 17 Apr 2026 - 10:11

101

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$\lim_{n \to \infty}n^2\left(4-2\pi+n^2\int_{x_n}^2P_n(x)dx\right)$

Published on 15 Apr 2026 - 20:44

List Question

What's the number of ways Lior can eat 4 fruits with conditions?

Relation between first order recurrence relations and functions?

Induction for an inequality

Prove or Disprove that $T(i)$ is a decreasing function of $i$

"No two $0$'s together" versus "No two consecutive $0$'s"

Solve Recurrence Equation: $T(n)=T(n−4)+n^2$

Solution to the recurrence $a_n = 2a_{n - 1} - 2^n$

Proof of a discrete Gronwall-type inequality

The recurrence of a lazy random walk is related to its subrandom walk.

Vanquishing a dragon using one dimensional random walk with variable path lengths

Find the general term of $a_{2k}=pa_k+qa_{k+1},a_{2k+1}=ra_k+sa_{k+1}$

Induction Proof of Loop Invariance Given the Invariance

Find general solution of $u_{n+1}=4u_n(1-u_n)$

Closed form of $a_1=x$, $a_n=\left\lfloor\dfrac{(n+2)a_{n-1}-2}{n}\right\rfloor,n\ge 2$

$\lim_{n \to \infty}n^2\left(4-2\pi+n^2\int_{x_n}^2P_n(x)dx\right)$

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