Proof by induction: $4^{3n} +8$ divisible by $9$
122386
How do I prove that $3$ divides $14^{2n}-1$ by induction?
66578
Prove by induction that $2^{2n} – 1$ is divisible by $3$ whenever n is a positive integer.
10629
How to prove $4(n!)>2^{n+2}$ for $ n\geq 4$ with induction
150462
Prove by induction that for every $n \ge 0$ the term $2^{2n+1} - 9n^2 + 3n -2$ is divisible by $54$
79145
Proving by induction: $2^n > n^3 $ for any natural number $n > 9$
105854
Prove $n^2(n^4-1)$ is divisible by 60 using Mathematical Induction.
66358
Prove by mathematical induction that $2n ≤ 2^n$, for all integer $n≥1$?
130093
Prove by Induction : $n < 2^n$
130488
Prove by induction that $3\mid n^3 - n$
27304
Proving $ 1+\frac{1}{4}+\frac{1}{9}+\cdots+\frac{1}{n^2}\leq 2-\frac{1}{n}$ for all $n\geq 2$ by induction
101927
Induction: Prove that $4^{n+1}+5^{2 n - 1}$ is divisible by 21 for all $n \geq 1$.
8609
Prove by induction that $n!>2^n$
63416
Prove $(n^5-n)$ is divisible by 5 by induction.
49299
Proof by Induction: For any integer $n > 0$, $3|(5^{2n} − 1)$.
113359
Proving that $x^2 + 4$ is not divisible by $3$
77816
Proof problem: Show that $n^2-1$ is divisible by $8$, if $n$ is an odd positive integer.
82358
How to prove that $4^m + 5^m$ is divisible by 9 when m is an odd number