proof by induction: $7^{2n} - 2^n$ is always divisible by $47$
2522
Why is $a^n - b^n$ divisible by $a-b$?
51211
Mathematics induction (exponential divisible by 2304)
148330
Induction Proof for $F_{2n} = F^2_{n+1} - F^2_{n-1}$
134000
Proof by Strong Induction: $n = 2^a b,\, b\,$ odd, every natural a product of an odd and a power of 2
115866
Proof by induction; $a^n$ divides $b^n$ implies $a$ divides $b$
11500
Divisibility by 7 rule, and Congruence Arithmetic Laws
119436
Proving $2^n\leq 2^{n+1}-2^{n-1}-1$ for all $n\geq 1$ by induction
8366
Proof of $a^n+b^n$ divisible by $a+b$ when $n$ is odd
63416
Prove $(n^5-n)$ is divisible by 5 by induction.
48333
Prove by induction that $(x+1)^n - nx - 1$ is divisible by $x^2$
122386
How do I prove that $3$ divides $14^{2n}-1$ by induction?
114873
Show that if $n$ is not divisible by $2$ or by $3$, then $n^2-1$ is divisible by $24$.
139269
Prove that $2n-3\leq 2^{n-2}$ , for all $n \geq 5$ by mathematical induction
72026
Induction proof of $\sum_{k=1}^{n} \binom n k = 2^n -1 $
153281
Prove by induction that $3^{2n+3}+40n-27$ is divisible by 64 for all n in natural numbers
145274
Prove by induction $\sum \frac {1}{2^n} < 1$
129238
Divisibility of $2^n - 1$ by $2^{m+n} - 3^m$.