List questions from induction

Published on 15 Apr 2026 - 6:57

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'Mathematical Induction'

Published on 13 Apr 2026 - 6:51

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Prove that $f(n) = 3n^5 + 5n^3 + 7n$ is divisible by 15 for every integer $n$

Published on 14 Apr 2026 - 16:20

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How to make inductive step for a Fibonacci proof

Published on 12 Apr 2026 - 0:28

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Proof by induction for recursive sequence with no explicit formula.

Published on 10 Apr 2026 - 5:25

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Prove the arithmetic-geometric inequality for integers $n$ that are powers of two, i.e. $n=2^k$.

Published on 13 Apr 2026 - 0:33

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A Increasing Multiplicative Functional Equation where $nm$ is a cube

Published on 07 May 2026 - 17:52

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Regarding the number of isomorphisms between splitting fields

Published on 26 Mar 2026 - 19:05

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Prove by induction that $36,306,3006,30006$ is divisible by 18

Published on 12 Apr 2026 - 5:22

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Is This Mathematical Induction?

Published on 12 Apr 2026 - 9:15

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The basis step is confusing, Prove by mathematical induction that $3 | (n^3 - n)$ for every positive integer n.

Published on 14 Apr 2026 - 18:11

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How does this result follow?

Published on 10 Apr 2026 - 23:40

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Show that for each $n \geq 2$, $\left(1 - \frac{1}{4}\right)\left(1 - \frac{1}{9}\right) \cdots \left(1 - \frac{1}{n^2}\right) = \frac{n + 1}{2n}$

Published on 16 Apr 2026 - 23:30

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Proving Multiplicity in Polynomials with derivatives.

Published on 10 Apr 2026 - 9:36

196

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Is my proof of the principle of backward induction using well-ordering correct?

Published on 11 Apr 2026 - 22:33

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Matrix induction proof

'Mathematical Induction'

Prove that $f(n) = 3n^5 + 5n^3 + 7n$ is divisible by 15 for every integer $n$

How to make inductive step for a Fibonacci proof

Proof by induction for recursive sequence with no explicit formula.

Prove the arithmetic-geometric inequality for integers $n$ that are powers of two, i.e. $n=2^k$.

A Increasing Multiplicative Functional Equation where $nm$ is a cube

Regarding the number of isomorphisms between splitting fields

Prove by induction that $36,306,3006,30006$ is divisible by 18

Is This Mathematical Induction?

The basis step is confusing, Prove by mathematical induction that $3 | (n^3 - n)$ for every positive integer n.

How does this result follow?

Show that for each $n \geq 2$, $\left(1 - \frac{1}{4}\right)\left(1 - \frac{1}{9}\right) \cdots \left(1 - \frac{1}{n^2}\right) = \frac{n + 1}{2n}$

Proving Multiplicity in Polynomials with derivatives.

Is my proof of the principle of backward induction using well-ordering correct?

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