List questions from induction

Published on 10 Apr 2026 - 6:49

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Inequality proof (perhaps inductive?)

Published on 08 Apr 2026 - 20:02

53

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Prove by mathematical induction that $n^\frac{1}{n}<2-\frac{1}{n}$

Published on 14 Jun 2020 - 14:29

71

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How to prove for every positive integers $k$ if the degree set of vertices of a graph is $(1,1,2,2,3,3,...,k,k)$ , we can create a graph.

Published on 15 Jun 2020 - 9:03

161

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$I_n \sim I_m $ iff $ n=m $ by induction over n

Published on 15 Jun 2020 - 19:26

70

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Prove that 9 divides $7\cdot5^{2n}+2^{4n+1}$

Published on 04 Apr 2026 - 5:25

41

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Show that for every positive integer $n$ $ \phi^{n}(x)=\left(c+f(c)+f^{2}(c)+\ldots . .+f^{n-1}(c)\right)+f^{n}(x) $

Published on 30 Mar 2026 - 20:44

247

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What is the formal justification for finite induction?

Published on 06 Apr 2026 - 8:07

63

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Prove that $4^n-3^n\gt 2n^2$ for all $n\ge 3$

Published on 16 Jun 2020 - 16:33

95

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Proving $(x_1 x_2 \cdots x_n)^{-1} = x_n^{-1} x_{n-1}^{-1} \cdots x_2^{-1}x_1^{-1}$ for $x_i $ in group $G$

Published on 17 Jun 2020 - 18:42

98

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For all number greater than or equal to 13, can we write this as 2x + 7y assuming x and y are non negative integers?

Published on 19 Jun 2020 - 2:21

267

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A question about "construction by induction".

Published on 11 Apr 2026 - 12:43

543

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A summation identity

Published on 30 Mar 2026 - 1:13

466

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It's true that $(n) (n + 1) (2n + 1)$ is a multiple of 6?

Published on 11 Apr 2026 - 22:42

99

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Explanation of part of a particular proof by induction that the harmonic series diverges

Published on 28 Mar 2026 - 1:07

List Question

Transfinite induction

Inequality proof (perhaps inductive?)

Prove by mathematical induction that $n^\frac{1}{n}<2-\frac{1}{n}$

How to prove for every positive integers $k$ if the degree set of vertices of a graph is $(1,1,2,2,3,3,...,k,k)$ , we can create a graph.

$I_n \sim I_m $ iff $ n=m $ by induction over n

Prove that 9 divides $7\cdot5^{2n}+2^{4n+1}$

Show that for every positive integer $n$ $ \phi^{n}(x)=\left(c+f(c)+f^{2}(c)+\ldots . .+f^{n-1}(c)\right)+f^{n}(x) $

What is the formal justification for finite induction?

Prove that $4^n-3^n\gt 2n^2$ for all $n\ge 3$

Proving $(x_1 x_2 \cdots x_n)^{-1} = x_n^{-1} x_{n-1}^{-1} \cdots x_2^{-1}x_1^{-1}$ for $x_i $ in group $G$

For all number greater than or equal to 13, can we write this as 2x + 7y assuming x and y are non negative integers?

A question about "construction by induction".

A summation identity

It's true that $(n) (n + 1) (2n + 1)$ is a multiple of 6?

Explanation of part of a particular proof by induction that the harmonic series diverges

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