Math Help - Induction Proof

Prove that (5^2n) - 1 is a multiple of 8 for all natural numbers. (By induction)

Originally Posted by bearej50

Prove that (5^2n) - 1 is a multiple of 8 for all natural numbers. (By induction)

.....Here is the main part
Let 5^2k-1 is a multiple of 8
so
5^{2k}-1 =8 m [ m is any integer]

5^2k = 8m+1

For(k+1)

thank you!