proof by induction - algebra mistake?
125028
Prove the following equality using mathematical induction:
78583
Help with proof using induction: $1 + \frac{1}{4} + \frac{1}{9}+\cdots+\frac{1}{n^2}\leq 2-\frac{1}{n}$
25496
Avoiding proof by induction
115435
Induction: prove using congruences
100080
Proving with induction $(1-x)^n<\frac 1 {1+nx}$
17491
Proof by Induction: Solving $1+3+5+\cdots+(2n-1)$
121874
Use Induction to prove that for all $n \in \mathbb{N}, (x^n + \frac{1}{x^n}) \in \mathbb{Z}$ if $x+\frac{1}{x}\in\mathbb{Z}$.
131771
Prove by induction that $\sum_{i=1}^{2^n} \frac{1}{i} \ge 1+\frac{n}{2}, \forall n \in \mathbb N$
14435
Show by induction: $(1+\frac{1}{n})^{n}<n$
69875
Prove the commutativity property of addition of natural numbers by induction
37466
Questions on "All Horse are the Same Color" Proof by Complete Induction
88055
Use induction to prove the following: $1! + 2! + .... + n! \le (n + 1)!$
115459
Proving this $F_{n+1} \cdot F_{n-1} - F^2_n = (-1)^n$ by induction
119436
Proving $2^n\leq 2^{n+1}-2^{n-1}-1$ for all $n\geq 1$ by induction
136700
Proving divisibility of expression using induction
151646
Prove by induction that $\sum_{i=1}^{n} i \cdot 2^i = (n-1) \cdot 2^{n+1} +2$. Help finding my mistake
22073
Prove by induction that $n^2<n!$