Prove by induction: $2^{n+2} +3^{2n+1}$ is divisible by $7$ for all $n \in \mathbb{N}$
87379
How to prove that $2^{n+2}+3^{2n+1}$ is divisible by 7 using induction?
26336
Prove that $n(n^2 - 1)(n + 2)$ is divisible by $4$ for any integer $n$
122711
Prove by induction that $n^3 + 11n$ is divisible by $6$ for every positive integer $n$.
63416
Prove $(n^5-n)$ is divisible by 5 by induction.
153281
Prove by induction that $3^{2n+3}+40n-27$ is divisible by 64 for all n in natural numbers
65391
Prove by induction. $n \in \mathbb N$.
52113
Proof by Induction $\sum_{i=0}^{k-1} 2^i = 2^k-1$
125297
Induction to prove $2n + 3 < 2^n$
9302
Questions about Divisibility of $2^n$ by $3$
128306
Show that for all $n ∈ Z$, $2n^3 + 3n^2 + n$ is divisible by both 2 and 3.
136700
Proving divisibility of expression using induction
62177
Prove that: $2^n < n!$ Using Induction
70625
Prove By Induction $1 + 1/2 + 1/3 + ... + 1/(2^n) ≥ 1 + n/2$
91197
Proving $n! \ge 2^{n-1 }$for all $n\ge1 $by mathematical Induction
50940
Prove $1^{2007}+2^{2007}+\cdots+n^{2007}$ is not divisible by $n+2$
39175
Prove by induction that $\forall n \in\mathbb N$, $3\mid4^{n}-1$.
105854
Prove $n^2(n^4-1)$ is divisible by 60 using Mathematical Induction.