List questions from induction

Published on 28 Mar 2026 - 10:15

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Prove by mathematical induction that $(3n+1)7^n -1$ is divisible by $9$ for integral $n>0$

Published on 02 Apr 2026 - 17:32

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Using mathematical induction prove the question below : $2^n≤(n+1)!$ For n≥0

Published on 01 Dec 2019 - 8:15

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Induction problem verification

Published on 02 Dec 2019 - 5:04

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Consider the sequence of real numbers defined by the relations: $X(1)=1$ and $X(n+1)=\sqrt{1+2X(n)}$ for $n\geq1$

Published on 06 Apr 2026 - 21:13

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Why does this inductive proof fail?

Published on 03 Dec 2019 - 4:53

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Graph theory induction

Published on 25 Mar 2026 - 11:08

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Complete graph induction

Published on 03 Dec 2019 - 20:11

480

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Proving a sequence is convergent by monotone convergence theorem (MCT)

Published on 04 Dec 2019 - 12:34

76

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Prove by induction that for any $n \ge 2$ : $\sum_{k=n+1}^{2n}\frac{1}{k} \ge \frac{13}{24}$

Published on 04 Dec 2019 - 12:57

31

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Proof of $|z_{n+1} - z_n| \leq q^{n-1}|z_2-z_1|$ via induction

Published on 04 Dec 2019 - 15:44

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Proof Verification - divisibility through induction

Published on 29 Mar 2026 - 14:55

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For a simple graph of girth 5 and with minimum degree $k$ has at least $k^2+1$ vertices.

Published on 05 Dec 2019 - 4:59

199

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Axiomatic natural numbers without induction principle

Published on 26 Mar 2026 - 14:28

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Hanoi Towers recursive expression for EVERY algorithm

Published on 29 Mar 2026 - 17:05

List Question

Mathematical Induction Involving The Floor Function

Prove by mathematical induction that $(3n+1)7^n -1$ is divisible by $9$ for integral $n>0$

Using mathematical induction prove the question below : $2^n≤(n+1)!$ For n≥0

Induction problem verification

Consider the sequence of real numbers defined by the relations: $X(1)=1$ and $X(n+1)=\sqrt{1+2X(n)}$ for $n\geq1$

Why does this inductive proof fail?

Graph theory induction

Complete graph induction

Proving a sequence is convergent by monotone convergence theorem (MCT)

Prove by induction that for any $n \ge 2$ : $\sum_{k=n+1}^{2n}\frac{1}{k} \ge \frac{13}{24}$

Proof of $|z_{n+1} - z_n| \leq q^{n-1}|z_2-z_1|$ via induction

Proof Verification - divisibility through induction

For a simple graph of girth 5 and with minimum degree $k$ has at least $k^2+1$ vertices.

Axiomatic natural numbers without induction principle

Hanoi Towers recursive expression for EVERY algorithm

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