List questions from induction

Published on 04 Apr 2026 - 21:13

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Use strong induction to prove that $n\leq3^{n/3}$ for every integer $n\geq0$

Published on 17 Nov 2014 - 9:51

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Induction of factorial

Published on 17 Nov 2014 - 13:41

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induction with factorials

Published on 17 Nov 2014 - 19:39

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What sets does $\mathbb{N}$ include?

Published on 27 Mar 2026 - 13:12

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An induction proof in a set.

Published on 05 Apr 2026 - 16:03

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Confusion on particular step in this weak induction proof

Published on 19 Nov 2014 - 2:17

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By induction, show that for ∀n∈N, it is true that:

Published on 19 Nov 2014 - 15:52

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Lining a rectangular building square panels

Published on 29 Mar 2026 - 4:50

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Induction proof with inequalities

Published on 20 Nov 2014 - 1:23

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Strong induction on a sequence, proving two functions are equal?

Published on 20 Nov 2014 - 13:59

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Equilateral triangle is cut in $4^n$ congruent equilateral smaller triangles

Published on 20 Nov 2014 - 15:04

147

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Prove $H_{2^m} \leq 1 + m$, where $H_n = \sum\limits_{k=1}^n \frac{1}{k}$

Published on 20 Nov 2014 - 17:15

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Proving this $F_{n+1} \cdot F_{n-1} - F^2_n = (-1)^n$ by induction

Published on 28 Mar 2026 - 4:35

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How to prove this statement: $\binom{r}{r}+\binom{r+1}{r}+\cdots+\binom{n}{r}=\binom{n+1}{r+1}$

Published on 05 Apr 2026 - 21:38

List Question

Structural Induction, Propostitonal formulae problem

Use strong induction to prove that $n\leq3^{n/3}$ for every integer $n\geq0$

Induction of factorial

induction with factorials

What sets does $\mathbb{N}$ include?

An induction proof in a set.

Confusion on particular step in this weak induction proof

By induction, show that for ∀n∈N, it is true that:

Lining a rectangular building square panels

Induction proof with inequalities

Strong induction on a sequence, proving two functions are equal?

Equilateral triangle is cut in $4^n$ congruent equilateral smaller triangles

Prove $H_{2^m} \leq 1 + m$, where $H_n = \sum\limits_{k=1}^n \frac{1}{k}$

Proving this $F_{n+1} \cdot F_{n-1} - F^2_n = (-1)^n$ by induction

How to prove this statement: $\binom{r}{r}+\binom{r+1}{r}+\cdots+\binom{n}{r}=\binom{n+1}{r+1}$

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