List questions from induction

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172

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Finalising proof from Humphreys´ "Introduction to Lie Algebras and Representation Theyory"

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How to find whether this series converges or diverges?

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Strong Induction: Prove that $\sqrt{2}$ is irrational

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444

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Identity on Fibonacci numbers: $F_{2n}^2=F_{2n+2}F_{2n-2}+1$?

Published on 16 Apr 2026 - 9:47

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Prove by induction that $\sum\limits_{k=m}^{n}{n\choose k}{k\choose m}={n\choose m}2^{n-m}$.

Published on 17 Apr 2026 - 3:42

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Prove that a tree in which every vertex has degree at most 2 is a simple path

Published on 12 Apr 2026 - 14:17

334

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Induction well ordering principle

Published on 10 Apr 2026 - 16:11

76

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Question regarding an induction proof

Published on 14 Apr 2026 - 14:50

182

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Proving that $x^m+x^{-m}$ is a polynomial in $x+x^{-1}$ of degree $m$.

Published on 16 Apr 2026 - 4:54

724

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Convergence and divergence depending on whether $n$ is odd or even

Published on 16 Apr 2026 - 3:53

219

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Confusion regarding differences between strong induction and simple induction

Published on 11 Apr 2026 - 19:45

682

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Binary addition preserving Hamming weights

Published on 14 Apr 2026 - 13:39

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Verification of Basic Proof in Spivak Calculus (Induction)

Published on 10 Apr 2026 - 18:49

587

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Some trouble with the induction

Published on 16 Apr 2026 - 14:19

List Question

$p$ divides $n^p-n$

Finalising proof from Humphreys´ "Introduction to Lie Algebras and Representation Theyory"

How to find whether this series converges or diverges?

Strong Induction: Prove that $\sqrt{2}$ is irrational

Identity on Fibonacci numbers: $F_{2n}^2=F_{2n+2}F_{2n-2}+1$?

Prove by induction that $\sum\limits_{k=m}^{n}{n\choose k}{k\choose m}={n\choose m}2^{n-m}$.

Prove that a tree in which every vertex has degree at most 2 is a simple path

Induction well ordering principle

Question regarding an induction proof

Proving that $x^m+x^{-m}$ is a polynomial in $x+x^{-1}$ of degree $m$.

Convergence and divergence depending on whether $n$ is odd or even

Confusion regarding differences between strong induction and simple induction

Binary addition preserving Hamming weights

Verification of Basic Proof in Spivak Calculus (Induction)

Some trouble with the induction

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