Question

Proof by “continuous induction”

score 926 · Answer 1 · 2026-04-11 08:18:00

926

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Proof by “continuous induction”

Published on 11 Apr 2026 - 8:18

score 53 · Answer 2 · 2026-04-14 18:59:38

53

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Induction problem for $U_{n+1}(x) = 2x U_n(x) - U_{n-1}(x),$ what can be assumed?

Published on 14 Apr 2026 - 18:59

score 310 · Answer 3 · 2026-04-12 18:26:12

310

Views

Determinant of a block matrix $2n$ by $2n$

Published on 12 Apr 2026 - 18:26

score 50 · Answer 4 · 2026-04-13 13:43:36

50

Views

Set-Theoretic Probability

Published on 13 Apr 2026 - 13:43

score 94 · Answer 5 · 2026-04-16 18:09:04

94

Views

Strong Induction for Fibonacci number related identity $f_{n+m} = f_{m}f_{n+1} + f_{m-1} f_n$

Published on 16 Apr 2026 - 18:09

score 136 · Answer 6 · 2026-04-15 16:21:53

136

Views

Prove by induction the particular inequality $\left(1.3\right)^n \ge 1 + \left(0.3\right)n$ for every $n \in \mathbb N$

Published on 15 Apr 2026 - 16:21

score 342 · Answer 7 · 2026-04-12 05:40:39

342

Views

Is this type of proof by induction correct in Sylow's Theorem?

Published on 12 Apr 2026 - 5:40

score 1.7k · Answer 8 · 2026-04-10 21:21:59

1.7k

Views

Proof by math induction with inequality example, why is "replacement" allowed?

Published on 10 Apr 2026 - 21:21

score 174 · Answer 9 · 2026-03-25 23:34:52

174

Views

Empty Twin Prime Sets

Published on 25 Mar 2026 - 23:34

score 57 · Answer 10 · 2026-04-14 18:29:05

57

Views

What am I missing in this induction proof?

Published on 14 Apr 2026 - 18:29

score 962 · Answer 11 · 2026-04-12 19:08:25

962

Views

Double induction - another method?

Published on 12 Apr 2026 - 19:08

score 288 · Answer 12 · 2026-04-17 07:40:47

288

Views

Prove if $n \in \mathbb N$, then $\frac{1}{2!}+\cdots+\frac{n}{(n+1)!}=1-\frac{1}{(n+1)!}$

Published on 17 Apr 2026 - 7:40

score 103 · Answer 13 · 2026-04-12 19:45:38

103

Views

Why do you need to show A(1) before proving A(n) by induction?

Published on 12 Apr 2026 - 19:45

score 246 · Answer 14 · 2026-04-15 20:30:41

246

Views

Proving by induction that the sequence $a_{n+1}=\sqrt{3a_n-1}$ is increasing

Published on 15 Apr 2026 - 20:30

score 151 · Answer 15 · 2026-04-15 07:53:02

151

Views

Prove that $(n!)^2 ≥ n^n$ using mathematical induction

Published on 15 Apr 2026 - 7:53

List Question

Proof by “continuous induction”

Induction problem for $U_{n+1}(x) = 2x U_n(x) - U_{n-1}(x),$ what can be assumed?

Determinant of a block matrix $2n$ by $2n$

Set-Theoretic Probability

Strong Induction for Fibonacci number related identity $f_{n+m} = f_{m}f_{n+1} + f_{m-1} f_n$

Prove by induction the particular inequality $\left(1.3\right)^n \ge 1 + \left(0.3\right)n$ for every $n \in \mathbb N$

Is this type of proof by induction correct in Sylow's Theorem?

Proof by math induction with inequality example, why is "replacement" allowed?

Empty Twin Prime Sets

What am I missing in this induction proof?

Double induction - another method?

Prove if $n \in \mathbb N$, then $\frac{1}{2!}+\cdots+\frac{n}{(n+1)!}=1-\frac{1}{(n+1)!}$

Why do you need to show A(1) before proving A(n) by induction?

Proving by induction that the sequence $a_{n+1}=\sqrt{3a_n-1}$ is increasing

Prove that $(n!)^2 ≥ n^n$ using mathematical induction

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