List questions from induction

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List Question

A Proof by induction

Integral that results in the fraction of two gamma functions

Fake Proof: $a^n = 1$ f or all nonnegative integers $n$

Using induction to prove the inequality $n!\ge 2^{n-1}$

Axiom of Double Induction?

Show that for any a ∈ ℤ, 42 | $(a^7 − a).$

How can one show that$f(x^n)=nf(x)$

Induction to prove parity

Standard notation of proposition in induction?

Proof by induction with summation

Sums of Geometric Series Induction

Induction: Prove that if $p$ is a prime number, then the sum of squares is divisible by $p$

How to find the recursive definition of this function and prove by induction.

Sum of Squares for Odd Fibonacci Numbers

Proof that $ n^{n} \leq {(n+1)}^{n} $

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