Question

Prove that $({3}^{2n}+7)$ is a multiple of 8.



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Answer 1

hlo mate !!

⤵️⤵️⤵️

The reason why that I was confused in this problem was because my steps has gotten me nowhere useful as shown below:

(I've omitted the words for the inductive proof for the sake of simplicity)

=32(k+1)−1

=9−32k−1

=8−9∗3k

But this has gotten me nowhere and I was wondering if there was any other way to prove this with inductive proof.

PLZ MARK ME

Answer 2

SOLUTION

hello mate !!

here is your answer

=32(k+1)−1

=9−32k−1

=8−9∗3k