Question

Proving Reversal of a Language in Recursive Way

score 422 · Answer 1 · 2026-04-10 17:42:04

422

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Proving Reversal of a Language in Recursive Way

Published on 10 Apr 2026 - 17:42

score 289 · Answer 2 · 2026-04-28 11:13:37

289

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Proof by induction of recurrence relation

Published on 28 Apr 2026 - 11:13

score 107 · Answer 3 · 2026-04-15 21:59:22

107

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Prove by mathematical induction that $\forall n \geq 4 \in \mathbb{N}: 3n^2 + 3n +1 < 2(3^n)$

Published on 15 Apr 2026 - 21:59

score 92 · Answer 4 · 2026-04-16 03:09:21

92

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Show that $\forall n \in \mathbb{N}: n$ can be written as $F_{n+1}$ different sums of ones and twos

Published on 16 Apr 2026 - 3:09

score 177 · Answer 5 · 2026-04-17 01:18:12

177

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Prove by induction that $3n^2 + 3n + 1 \leq 2(3^n)$

Published on 17 Apr 2026 - 1:18

score 163 · Answer 6 · 2026-04-15 19:12:39

163

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Generalized Bernoulli's inequality of the form $\frac{1}{1-\sum_{i=1}^nx_i}\geq\prod_{i=1}^n(1+x_i)$

Published on 15 Apr 2026 - 19:12

score 310 · Answer 7 · 2026-04-17 11:59:09

310

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Proving $2(\sqrt{n} - 1) < \sum\limits_{i=1}^n\frac{1}{\sqrt i}$

Published on 17 Apr 2026 - 11:59

score 63.9k · Answer 8 · 2026-04-16 06:25:26

63.9k

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Proving $\sum_{i=0}^n 2^i=2^{n+1}-1$ by induction.

Published on 16 Apr 2026 - 6:25

score 1.8k · Answer 9 · 2026-04-16 16:43:47

1.8k

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Why General Leibniz rule and Newton's Binomial are so similar?

Published on 16 Apr 2026 - 16:43

score 1.1k · Answer 10 · 2026-04-16 10:53:59

prove that if m and n are any positive integers and m is odd, then $ m \mid \sum \limits_{i=0}^{m-1} (n ~+~ i)$ is divisible by m.

score 397 · Answer 11 · 2026-04-17 07:15:54

397

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I'm having trouble with induction. Prove $1 + 2^3 + 3^3 + ... + n^3 = \frac{((n^2)(n+1)^2)}4$

Published on 17 Apr 2026 - 7:15

score 146 · Answer 12 · 2026-04-09 16:26:19

146

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Help with how to prepare the inductive step of a strong induction exercise.

Published on 09 Apr 2026 - 16:26

score 14.7k · Answer 13 · 2026-04-11 19:03:19

14.7k

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Fake induction proofs

Published on 11 Apr 2026 - 19:03

score 179 · Answer 14 · 2026-04-12 12:59:15

179

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mathematical induction to establish inequality

Published on 12 Apr 2026 - 12:59

score 220 · Answer 15 · 2026-04-15 14:06:03

220

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Suppose a matrix A is nxn, and that v1,v2 are in R^n...

Published on 15 Apr 2026 - 14:06

List Question

Proving Reversal of a Language in Recursive Way

Proof by induction of recurrence relation

Prove by mathematical induction that $\forall n \geq 4 \in \mathbb{N}: 3n^2 + 3n +1 < 2(3^n)$

Show that $\forall n \in \mathbb{N}: n$ can be written as $F_{n+1}$ different sums of ones and twos

Prove by induction that $3n^2 + 3n + 1 \leq 2(3^n)$

Generalized Bernoulli's inequality of the form $\frac{1}{1-\sum_{i=1}^nx_i}\geq\prod_{i=1}^n(1+x_i)$

Proving $2(\sqrt{n} - 1) < \sum\limits_{i=1}^n\frac{1}{\sqrt i}$

Proving $\sum_{i=0}^n 2^i=2^{n+1}-1$ by induction.

Why General Leibniz rule and Newton's Binomial are so similar?

prove that if m and n are any positive integers and m is odd, then $ m \mid \sum \limits_{i=0}^{m-1} (n ~+~ i)$ is divisible by m.

I'm having trouble with induction. Prove $1 + 2^3 + 3^3 + ... + n^3 = \frac{((n^2)(n+1)^2)}4$

Help with how to prepare the inductive step of a strong induction exercise.

Fake induction proofs

mathematical induction to establish inequality

Suppose a matrix A is nxn, and that v1,v2 are in R^n...

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