List questions from induction

Published on 13 May 2018 - 5:28

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How to subset proof

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Let $x,y$ be positive real numbers. Then $x<y$ iff $x^n<y^n$ for all $n\in \mathbb{N}$

Published on 15 May 2018 - 19:58

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Proof of sum of cubes of odd numbers by induction

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Prove that $n<2^n$ for every positive integer $n$

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If $a^n, b^n$ and $c^n$ form a triangle for all $n \in \Bbb N$, prove that the triangles are isosceles.

Published on 26 Mar 2026 - 1:29

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Prove by induction that $x^n-y^n$ is divisble by $x-y$ for $ n \ge 1 $

Published on 19 May 2018 - 6:10

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Show that $\binom{2n}{n}\geq2^n$ for all $n\in\mathbb{N}_0$.

Published on 26 Mar 2026 - 11:17

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All positive integers $n$ are equal

Published on 25 Mar 2026 - 6:08

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PMI in Determinant

Published on 20 May 2018 - 11:21

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How can I use induction to prove that this recursive definition is correct?

Published on 25 Mar 2026 - 10:55

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An equation for Fibonacci numbers

Published on 25 Mar 2026 - 11:10

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Induction of recursive definition of $f(n)=1+(-1)^n$ for $n≥1$

Published on 25 Mar 2026 - 9:29

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Applying the principle of mathematical Induction, prove that

Published on 21 May 2018 - 17:38

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Proof of factor by induction

Published on 22 May 2018 - 6:40

List Question

Prove that $ a^n + b^n + c^n = d^n + e^n + f^n $ by induction

How to subset proof

Let $x,y$ be positive real numbers. Then $x<y$ iff $x^n<y^n$ for all $n\in \mathbb{N}$

Proof of sum of cubes of odd numbers by induction

Prove that $n<2^n$ for every positive integer $n$

If $a^n, b^n$ and $c^n$ form a triangle for all $n \in \Bbb N$, prove that the triangles are isosceles.

Prove by induction that $x^n-y^n$ is divisble by $x-y$ for $ n \ge 1 $

Show that $\binom{2n}{n}\geq2^n$ for all $n\in\mathbb{N}_0$.

All positive integers $n$ are equal

PMI in Determinant

How can I use induction to prove that this recursive definition is correct?

An equation for Fibonacci numbers

Induction of recursive definition of $f(n)=1+(-1)^n$ for $n≥1$

Applying the principle of mathematical Induction, prove that

Proof of factor by induction

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