Question

Seeking the analytical proof using the method of induction

score 44 · Answer 1 · 2026-04-11 04:28:44

44

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Seeking the analytical proof using the method of induction

Published on 11 Apr 2026 - 4:28

score 101 · Answer 2 · 2026-04-12 10:21:22

101

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How to prove natural number addition using induction?

Published on 12 Apr 2026 - 10:21

score 47 · Answer 3 · 2026-04-13 14:25:24

47

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Statements that seem true for many values of n but they are false

Published on 13 Apr 2026 - 14:25

score 463 · Answer 4 · 2026-04-16 22:39:33

463

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prove by induction $\sqrt{1 \sqrt{2 \sqrt{3.....\sqrt n }}} < 2$

Published on 16 Apr 2026 - 22:39

score 98 · Answer 5 · 2026-04-13 13:22:25

98

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Using induction to prove statements for finite sets

Published on 13 Apr 2026 - 13:22

score 82 · Answer 6 · 2026-04-14 22:03:40

82

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Proving $\sum_{r=1}^{n}{\frac{1}{r^2}\leq2-\frac{1}{n}}$ by induction

Published on 14 Apr 2026 - 22:03

score 65 · Answer 7 · 2026-04-14 12:11:24

65

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Irregular Induction Theorem for $\mathbb{N}\times\mathbb{N}$

Published on 14 Apr 2026 - 12:11

score 35 · Answer 8 · 2026-03-26 16:05:37

35

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Convolving an image with mean filter infinite times

Published on 26 Mar 2026 - 16:05

score 95 · Answer 9 · 2026-04-11 15:26:50

95

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A Proof of The Recursion Theorem

Published on 11 Apr 2026 - 15:26

score 265 · Answer 10 · 2026-04-13 22:30:18

265

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proving statements with 3 variables by inducting only on one variable

Published on 13 Apr 2026 - 22:30

score 129 · Answer 11 · 2026-04-16 01:45:51

129

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Determining convergence for sequence $a_1 = 3, \ a_{n+1} = \sqrt{3a_n - 2}$

Published on 16 Apr 2026 - 1:45

score 44 · Answer 12 · 2026-04-16 16:00:37

44

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Prove $s^k(n) \neq n$

Published on 16 Apr 2026 - 16:00

score 83 · Answer 13 · 2026-04-17 07:40:19

83

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Prove by mathematical induction that $\frac{n^3}{n!} < \frac{1}{2^n}$ for some $n\geq m$ where $m > 0$

Published on 17 Apr 2026 - 7:40

score 36 · Answer 14 · 2026-03-25 12:13:54

36

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Induction on Directed Acyclic Graphs with Root / Polytree

Published on 25 Mar 2026 - 12:13

score 86 · Answer 15 · 2026-04-16 13:04:08

86

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Prove by induction:$\sum_{k=1}^{n-1} \frac{1}{\sin^2\left(\frac{\pi k}{n}\right)} = \frac{1}{3} \left(n^2 - 1\right)$

Published on 16 Apr 2026 - 13:04

List Question

Seeking the analytical proof using the method of induction

How to prove natural number addition using induction?

Statements that seem true for many values of n but they are false

prove by induction $\sqrt{1 \sqrt{2 \sqrt{3.....\sqrt n }}} < 2$

Using induction to prove statements for finite sets

Proving $\sum_{r=1}^{n}{\frac{1}{r^2}\leq2-\frac{1}{n}}$ by induction

Irregular Induction Theorem for $\mathbb{N}\times\mathbb{N}$

Convolving an image with mean filter infinite times

A Proof of The Recursion Theorem

proving statements with 3 variables by inducting only on one variable

Determining convergence for sequence $a_1 = 3, \ a_{n+1} = \sqrt{3a_n - 2}$

Prove $s^k(n) \neq n$

Prove by mathematical induction that $\frac{n^3}{n!} < \frac{1}{2^n}$ for some $n\geq m$ where $m > 0$

Induction on Directed Acyclic Graphs with Root / Polytree

Prove by induction:$\sum_{k=1}^{n-1} \frac{1}{\sin^2\left(\frac{\pi k}{n}\right)} = \frac{1}{3} \left(n^2 - 1\right)$

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