Use induction to show that if $n\geq 0$ then $5^n\equiv 1+4n\pmod{16}$
12729
Proving $9^n - 8n - 1$ is divisible by $8^2$ for $n\ge 0$?
88144
Induction Proof $n! < n^n$
108698
proof using the mathematical induction
51730
How to prove this inequality $3^{n}\geq n^{2}$ for $n\geq 1$ with mathematical induction?
125028
Prove the following equality using mathematical induction:
107725
Prove that if $n$ is not divisible by $5$, then $n^4 \equiv 1 \pmod{5}$
45914
Proving that $n!≤((n+1)/2)^n$ by induction
121544
Proof by Induction: $2(\sqrt{n+1} - \sqrt{n}) < \frac{1}{\sqrt{n}} < 2(\sqrt{n}-\sqrt{n-1})$
91197
Proving $n! \ge 2^{n-1 }$for all $n\ge1 $by mathematical Induction
19701
Prove $5\mid2^{4n}-1$ by induction
17491
Proof by Induction: Solving $1+3+5+\cdots+(2n-1)$
146200
proof by induction: sum of binomial coefficients $\sum_{k=0}^n (^n_k) = 2^n$
52113
Proof by Induction $\sum_{i=0}^{k-1} 2^i = 2^k-1$
59280
Need help with Proof by Strong Induction question
101927
Induction: Prove that $4^{n+1}+5^{2 n - 1}$ is divisible by 21 for all $n \geq 1$.
4315
show that if $n\geq1$, $(1+{1\over n})^n<(1+{1\over n+1})^{n+1}$
6165
Proof by Induction $n^2+n$ is even