Question

What do you use for your basis step when its domain is all integers?

score 77 · Answer 1 · 2026-04-14 11:11:49

77

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What do you use for your basis step when its domain is all integers?

Published on 14 Apr 2026 - 11:11

score 159 · Answer 2 · 2026-04-15 03:43:31

159

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$3^{3n+1} < 2^{5n+6} $ for all non-negative integers $n$. Is my induction solution correct?

Published on 15 Apr 2026 - 3:43

score 2.3k · Answer 3 · 2026-04-17 11:33:27

2.3k

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Induction to prove that $1^2+ 3^2 + 5^2+ \cdots +(2n + 1)^2=\frac{(n+1)(2n+1)(2n + 3)}{3}$

Published on 17 Apr 2026 - 11:33

score 10.3k · Answer 4 · 2026-04-10 12:09:43

10.3k

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How to teach mathematical induction?

Published on 10 Apr 2026 - 12:09

score 240 · Answer 5 · 2026-04-13 10:25:03

240

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Aquaintance problem in discrete math. induction proof.

Published on 13 Apr 2026 - 10:25

score 230 · Answer 6 · 2026-04-14 01:12:26

230

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Error in Fibonacci recurrence proof by induction?

Published on 14 Apr 2026 - 1:12

score 36.6k · Answer 7 · 2026-04-13 23:32:17

36.6k

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Questions on "All Horse are the Same Color" Proof by Complete Induction

Published on 13 Apr 2026 - 23:32

score 124 · Answer 8 · 2026-04-12 20:29:31

124

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Maple simplification incorrect?

Published on 12 Apr 2026 - 20:29

score 8.9k · Answer 9 · 2026-04-17 09:04:33

8.9k

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Prove that $d^n(x^n)/dx^n = n!$ by induction

Published on 17 Apr 2026 - 9:04

score 134 · Answer 10 · 2026-05-15 08:09:43

134

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Prove by induction that $d_n=2^n+3^n$, where $d_n = 5d_{n-1}-6d_{n-2}$

Published on 15 May 2026 - 8:09

score 105 · Answer 11 · 2026-04-15 13:14:08

105

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A proposed proof by induction of $1+2+\ldots+n=\frac{n(n+1)}{2}$

Published on 15 Apr 2026 - 13:14

score 13.3k · Answer 12 · 2026-04-15 22:04:35

13.3k

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Prove that $(a-b) \mid (a^n-b^n)$

Published on 15 Apr 2026 - 22:04

score 497 · Answer 13 · 2026-04-17 06:53:02

497

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Induction and convergence of an inequality: $\frac{1\cdot3\cdot5\cdots(2n-1)}{2\cdot4\cdot6\cdots(2n)}\leq \frac{1}{\sqrt{2n+1}}$

Published on 17 Apr 2026 - 6:53

score 32.8k · Answer 14 · 2026-04-10 11:07:13

32.8k

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How do you prove Well-Ordering without Mathematical Induction? (and vice-versa)

Published on 10 Apr 2026 - 11:07

score 1k · Answer 15 · 2026-04-10 20:05:51

1k

Views

Proof that $n! > 3n$ for $n\ge4 $ using the Principle of Mathematical Induction

Published on 10 Apr 2026 - 20:05

List Question

What do you use for your basis step when its domain is all integers?

$3^{3n+1} < 2^{5n+6} $ for all non-negative integers $n$. Is my induction solution correct?

Induction to prove that $1^2+ 3^2 + 5^2+ \cdots +(2n + 1)^2=\frac{(n+1)(2n+1)(2n + 3)}{3}$

How to teach mathematical induction?

Aquaintance problem in discrete math. induction proof.

Error in Fibonacci recurrence proof by induction?

Questions on "All Horse are the Same Color" Proof by Complete Induction

Maple simplification incorrect?

Prove that $d^n(x^n)/dx^n = n!$ by induction

Prove by induction that $d_n=2^n+3^n$, where $d_n = 5d_{n-1}-6d_{n-2}$

A proposed proof by induction of $1+2+\ldots+n=\frac{n(n+1)}{2}$

Prove that $(a-b) \mid (a^n-b^n)$

Induction and convergence of an inequality: $\frac{1\cdot3\cdot5\cdots(2n-1)}{2\cdot4\cdot6\cdots(2n)}\leq \frac{1}{\sqrt{2n+1}}$

How do you prove Well-Ordering without Mathematical Induction? (and vice-versa)

Proof that $n! > 3n$ for $n\ge4 $ using the Principle of Mathematical Induction

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