Induction based on sum of $kth$ powers.
110262
Finding a closed formula for $1\cdot2\cdot3\cdots k +\dots + n(n+1)(n+2)\cdots(k+n-1)$
123757
Proving a summation inequality with induction
115435
Induction: prove using congruences
32950
Fake induction proofs
52115
Show that $e^x > 1 + x + x^2/2! + \cdots + x^k/k!$ for $n \geq 0$, $x > 0$ by induction
71650
Proving by strong induction for a sequence of integers, $2^n$ divides term $n$
153123
Proving by induction $4^n  0$
143968
Proving this inequality by mathematical induction
16347
Induction: $\sum_{k=0}^n \binom nk k^2 = n(1+n)2^{n-2}$
72371
Proof of Strong Induction Using Well-Ordering Principle
62177
Prove that: $2^n < n!$ Using Induction
123195
Prove by induction that a^n+a^-n is an integer.
123427
Proving the sum of the first $n$ natural numbers by induction
131708
Sum of powers of natural numbers
98372
Proof of the principle of backwards induction
101641
Induction with floor, ceiling $n\le2^k\implies a_n\le3\cdot k2^k+4\cdot2^k-1$ for $a_n=a_{\lfloor\frac{n}2\rfloor}+a_{\lceil\frac{n}2\rceil}+3n+1$
31900
Induction on Real Numbers