List questions from induction

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Power rule proof

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Prove, that $3^n+3$ can't be a square

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Proof by Mathematical Induction for Inequality

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Base case is $2 \log(2) = 2$? - Proof by induction that $T(n) = n \times \log(n)$.

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Show that $n!\ge2^{\left(n-1\right)}\left(n-2\right)^2$ by using induction

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Rewriting a product of cosines of multiple angles in terms of a product of cosines of a single angle

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Prove that $2^{5n + 1} + 5^{n + 2} $ is divisible by 27 for any positive integer

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Induction proof of sum of Fibonacci sequence

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Minimal Polynomial and Jordan Basis

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Proving that $f^{(n)}(t) = p_n(1/t) e^{-1/t}, t\in(0, +\infty)$ where $p_n(x)$ is a polynomial of degree $\ge 2$.

Published on 14 Apr 2026 - 16:34

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What is wrong with this proof? Claim: $\ln(2)$ is rational.

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Proof by Induction for Exponential Term

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Separable Polynomial Induction Proof

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Solving factorial inequality

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List Question

How can I prove that: $\frac{(n+1)(n+2)(n+3)...(3n)}{(12)(45)(78)...(3n-2)(3n-1)} = 3^n$

Power rule proof

Prove, that $3^n+3$ can't be a square

Proof by Mathematical Induction for Inequality

Base case is $2 \log(2) = 2$? - Proof by induction that $T(n) = n \times \log(n)$.

Show that $n!\ge2^{\left(n-1\right)}\left(n-2\right)^2$ by using induction

Rewriting a product of cosines of multiple angles in terms of a product of cosines of a single angle

Prove that $2^{5n + 1} + 5^{n + 2} $ is divisible by 27 for any positive integer

Induction proof of sum of Fibonacci sequence

Minimal Polynomial and Jordan Basis

Proving that $f^{(n)}(t) = p_n(1/t) e^{-1/t}, t\in(0, +\infty)$ where $p_n(x)$ is a polynomial of degree $\ge 2$.

What is wrong with this proof? Claim: $\ln(2)$ is rational.

Proof by Induction for Exponential Term

Separable Polynomial Induction Proof

Solving factorial inequality

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