Induction involving series with exponents $(1+2+3+\cdots+n)^2=1^3+2^3+3^3+\cdots+n^3$
101832
Proof that sum of first $n$ cubes is always a perfect square
108698
proof using the mathematical induction
63474
Showing $\sum_{i = 1}^n\frac1{i(i+1)} = 1-\frac1{n+1}$ without induction?
115459
Proving this $F_{n+1} \cdot F_{n-1} - F^2_n = (-1)^n$ by induction
16177
Proof by Induction: $\sum_0^nx^i=(1-x^{n+1})/(1-x)$
92046
Proving $\sum\limits_{i=0}^n  i 2^{i-1} = (n+1) 2^n - 1$ by induction
72026
Induction proof of $\sum_{k=1}^{n} \binom n k = 2^n -1 $
107810
Induction with Binomial Coefficients
30783
Prove inequality $n<3^n$ using mathematical induction
23726
A closed form for $1^{2}-2^{2}+3^{2}-4^{2}+ \cdots + (-1)^{n-1}n^{2}$
86479
How to Prove with Mathematical Induction $3^n > n^2$
76696
Using induction to prove $2^{n-1}(1 + a_1a_2\ldots a_n) \geq (1+a_1)(1+a_2)\ldots(1+a_n)$ for $a_i \geq 1$
15838
Induction Proof that $x^n-y^n=(x-y)(x^{n-1}+x^{n-2}y+\ldots+xy^{n-2}+y^{n-1})$
148330
Induction Proof for $F_{2n} = F^2_{n+1} - F^2_{n-1}$
142992
Prove that for every positive integer $n$, $1/1^2+1/2^2+1/3^2+\cdots+1/n^2\le2-1/n$
134202
Proof by Induction - Math
121874
Use Induction to prove that for all $n \in \mathbb{N}, (x^n + \frac{1}{x^n}) \in \mathbb{Z}$ if $x+\frac{1}{x}\in\mathbb{Z}$.