List questions from induction

Published on 25 Apr 2014 - 0:09

232

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Factoring for Strong Induction for Fibonacci Sequence

Published on 27 Mar 2026 - 2:38

100

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$(n+1)!>n^2, \forall n\ge 4$

Published on 27 Mar 2026 - 16:39

1.7k

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Showing sum of squares of products of all non-empty subsets of $\{1, 2, 3, \ldots, n\}$ having no consecutive elements is $(n + 1)! − 1$

Published on 25 Apr 2014 - 13:19

53

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$3^a\mid s(n) \Rightarrow 3^a\mid n$

Published on 27 Mar 2026 - 2:59

82

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Prove by Induction that: $1+nx\le (1+x)^n$?

Published on 25 Apr 2014 - 22:15

80

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Taylor's Approximation proof by induction

Published on 26 Apr 2014 - 0:46

4.1k

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Use mathematical induction to prove that $(3^n+7^n)-2$ is divisible by 8 for all non-negative integers.

Published on 30 Mar 2026 - 10:13

219

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Prove That the Second Moment is Minimized with a Circle Packing

Published on 30 Mar 2026 - 15:13

230

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$1!+2!+\ldots+n!$ cannot be the square of a positive integer

Published on 27 Mar 2026 - 16:38

1.7k

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Prove $n^2(n^4-1)$ is divisible by 60 using Mathematical Induction.

Published on 27 Apr 2014 - 14:34

3.9k

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induction proof for kleene star

Published on 25 Mar 2026 - 17:34

3.7k

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Find an explicit formula for the recursive sequence

Published on 27 Mar 2026 - 23:22

30

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greatest common divisor via induction?

Published on 01 May 2014 - 14:35

408

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Inductive proof of binary existence

Published on 02 May 2014 - 20:01

List Question

$r+r^{-1}$ integral implies $r^n+r^{-n}$ integral

Factoring for Strong Induction for Fibonacci Sequence

$(n+1)!>n^2, \forall n\ge 4$

Showing sum of squares of products of all non-empty subsets of $\{1, 2, 3, \ldots, n\}$ having no consecutive elements is $(n + 1)! − 1$

$3^a\mid s(n) \Rightarrow 3^a\mid n$

Prove by Induction that: $1+nx\le (1+x)^n$?

Taylor's Approximation proof by induction

Use mathematical induction to prove that $(3^n+7^n)-2$ is divisible by 8 for all non-negative integers.

Prove That the Second Moment is Minimized with a Circle Packing

$1!+2!+\ldots+n!$ cannot be the square of a positive integer

Prove $n^2(n^4-1)$ is divisible by 60 using Mathematical Induction.

induction proof for kleene star

Find an explicit formula for the recursive sequence

greatest common divisor via induction?

Inductive proof of binary existence

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