Mathematical Induction Proof: $\sum_{i=1}^n$ $(i \times i!) = (n+1)! - 1$
10976
Using induction to prove that $\sum_{r=1}^n r\cdot r! =(n+1)! -1$
38995
Induction proof that $\sum_{j=n}^{2n-1} (2j + 1) = 3n^2$ - what happened?
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 $a_i \geq 1$
54595
Prove $\sum\limits_{i=2}^{n}\frac{1}{(i-1)i}$ = $\frac{(n-1)}{n}$ using induction.
153123
Proving by induction $4^n  0$
146200
proof by induction: sum of binomial coefficients $\sum_{k=0}^n (^n_k) = 2^n$
121107
Proof by induction: $n^{n+1} > (n + 1)^n$, $(1 + x)^n \ge 1 + nx$, other inequalities
26912
Prove by induction that for all $n \geq 3$: $n^{n+1} > (n+1)^n$
79652
Proof by induction that $2 + 4 + 6 + \cdots + 2n = n(n+1)$
55428
Inductive proof of $a_n = 3*2^{n-1} + 2(-1)^n$ if $a_n = a_{n-1} + 2*a_{n-2}, a_1 = 1, a_2 = 8$
22073
Prove by induction that $n^2<n!$
121874
Use Induction to prove that for all $n \in \mathbb{N}, (x^n + \frac{1}{x^n}) \in \mathbb{Z}$ if $x+\frac{1}{x}\in\mathbb{Z}$.
125028
Prove the following equality using mathematical induction:
130093
Prove by Induction : $n < 2^n$
148330
Induction Proof for $F_{2n} = F^2_{n+1} - F^2_{n-1}$
112907
Math Induction Proof: $(1+\frac1n)^n < n$
70625
Prove By Induction $1 + 1/2 + 1/3 + ... + 1/(2^n) ≥ 1 + n/2$