Prove by induction that $a-b|a^n-b^n$
2522
Why is $a^n - b^n$ divisible by $a-b$?
29462
Suggestions on how to prove the following equality. $a^{m+n}=a^m a^n$
6165
Proof by Induction $n^2+n$ is even
91197
Proving $n! \ge 2^{n-1 }$for all $n\ge1 $by mathematical Induction
48211
When is $(a+b)^n \equiv a^n+b^n$?
39175
Prove by induction that $\forall n \in\mathbb N$, $3\mid4^{n}-1$.
62556
Prove $3|n(n+1)(n+2)$ by induction
101899
Proof By Induction of a Sum
127293
Prove that $(a-b) \mid (a^n-b^n)$
148330
Induction Proof for $F_{2n} = F^2_{n+1} - F^2_{n-1}$
48333
Prove by induction that $(x+1)^n - nx - 1$ is divisible by $x^2$
130488
Prove by induction that $3\mid n^3 - n$
115459
Proving this $F_{n+1} \cdot F_{n-1} - F^2_n = (-1)^n$ by induction
87665
Proving $x^n - y^n = (x-y)(x^{n-1} + x^{n-2} y + ... + x y^{n-2} + y^{n-1})$
72026
Induction proof of $\sum_{k=1}^{n} \binom n k = 2^n -1 $
3043
Prove $n!>2^n$ for $n\geq4$ using induction.
61117
Prove by induction: $n! \ge 2^{(n-1)}$ for any $n \ge 1$