List questions from induction

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Proving $k^k>(k+1)^{k-1}$

Published on 07 Jun 2018 - 14:27

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With square matrices, prove by mathematical induction that $(ABA^{-1})^k=AB^kA^{-1}$

Published on 07 Jun 2018 - 19:29

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Proof by induction $3^{2n}-2^n$ is multiply of 7

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Mathematical Induction in Money Multiplier

Published on 08 Jun 2018 - 7:20

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Using an induction argument to show that $\forall n\in\Bbb{N}$, $(n,n+1)\cap\Bbb{N}\neq\emptyset$

Published on 09 Jun 2018 - 8:27

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Proof by induction: is it enough to show 0=0?

Published on 09 Jun 2018 - 20:50

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Prove that f (n) = n

Published on 09 Jun 2018 - 22:27

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Set theory - induction - countable sets

Published on 10 Jun 2018 - 10:31

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If $ \ x_1=2 , \ x_{n+1}=\frac{x_n}{2}+\frac{1}{x_n} \ $ ; show that $ \ x_n^2-2>0 \ $ for every index $ \ n \ $

Published on 10 Jun 2018 - 15:03

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Understanding an induction concept to prove: If $n$ is a natural number greater than $1$, then $n-1$ is a natural number

Published on 11 Jun 2018 - 3:33

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How can you prove $1^3 + 2^3+\cdots+(n-1)^3 < \frac{n^4}{4} < 1^3 + 2^3 + \cdots + n^3$ by induction?

Published on 11 Jun 2018 - 19:37

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When induction proofs need a choice function

Published on 12 Jun 2018 - 13:39

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Why does induction have to be an axiom?

Published on 25 Mar 2026 - 7:41

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Prove By Induction $U_n=2^n+1.$

Published on 25 Mar 2026 - 1:34

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Recurrence Substitution Method of $T(n)=T(n/2)+T(n/3)+n$

Proving $k^k>(k+1)^{k-1}$

With square matrices, prove by mathematical induction that $(ABA^{-1})^k=AB^kA^{-1}$

Proof by induction $3^{2n}-2^n$ is multiply of 7

Mathematical Induction in Money Multiplier

Using an induction argument to show that $\forall n\in\Bbb{N}$, $(n,n+1)\cap\Bbb{N}\neq\emptyset$

Proof by induction: is it enough to show 0=0?

Prove that f (n) = n

Set theory - induction - countable sets

If $ \ x_1=2 , \ x_{n+1}=\frac{x_n}{2}+\frac{1}{x_n} \ $ ; show that $ \ x_n^2-2>0 \ $ for every index $ \ n \ $

Understanding an induction concept to prove: If $n$ is a natural number greater than $1$, then $n-1$ is a natural number

How can you prove $1^3 + 2^3+\cdots+(n-1)^3 < \frac{n^4}{4} < 1^3 + 2^3 + \cdots + n^3$ by induction?

When induction proofs need a choice function

Why does induction have to be an axiom?

Prove By Induction $U_n=2^n+1.$

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