List questions from induction

Published on 07 Dec 2018 - 16:01

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Induction on powers of powers.

Published on 26 Mar 2026 - 9:39

126

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Proving $\binom{n+1+m}{n+1}=\sum_{k=0}^m(k+1)\binom{n+m-k}{n}$

Published on 25 Mar 2026 - 20:53

193

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Example of an assertion which is not true for any positive integer, yet for which the induction step holds.

Published on 08 Dec 2018 - 18:37

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regular language equality prove by induction

Published on 25 Mar 2026 - 19:00

934

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Explaining the proof of Fibonacci number using inductive reasoning

Published on 26 Mar 2026 - 6:25

33

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Induction proof verification?

Published on 10 Dec 2018 - 1:38

297

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Clarification of Answers given in Spivak's Calculus, Chapter 1-24

Published on 28 Mar 2026 - 2:42

53

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Proof of $2^n > n$ by Induction

Published on 12 Dec 2018 - 9:42

51

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Prove $2\times1!+5\times2!+10\times3!+...+(n^2+1)n!=n(n+1)!$ for all positive integers

Published on 26 Mar 2026 - 7:35

233

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Prove by induction $n^2>7n+1$ for $n\geq8$

Published on 12 Dec 2018 - 23:49

465

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Prove by induction that $ 4^{2n}-3^{2n}-7 $ is divisible by 84 for all natural numbers.

Published on 13 Dec 2018 - 7:14

307

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What is the $n$-time iterated adjugate of an $n\times n$ matrix $A$?

Published on 25 Mar 2026 - 20:36

1k

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Prove by induction $2^n > 2n+1$ for all $n \geq 3$

Published on 14 Dec 2018 - 2:29

179

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Recursive proof that $n^n \geq n!$

Published on 14 Dec 2018 - 12:27

List Question

Sum of quadratic series

Induction on powers of powers.

Proving $\binom{n+1+m}{n+1}=\sum_{k=0}^m(k+1)\binom{n+m-k}{n}$

Example of an assertion which is not true for any positive integer, yet for which the induction step holds.

regular language equality prove by induction

Explaining the proof of Fibonacci number using inductive reasoning

Induction proof verification?

Clarification of Answers given in Spivak's Calculus, Chapter 1-24

Proof of $2^n > n$ by Induction

Prove $2\times1!+5\times2!+10\times3!+...+(n^2+1)n!=n(n+1)!$ for all positive integers

Prove by induction $n^2>7n+1$ for $n\geq8$

Prove by induction that $ 4^{2n}-3^{2n}-7 $ is divisible by 84 for all natural numbers.

What is the $n$-time iterated adjugate of an $n\times n$ matrix $A$?

Prove by induction $2^n > 2n+1$ for all $n \geq 3$

Recursive proof that $n^n \geq n!$

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