Prove that \(5^{3^n} + 1\) is divisible by \(3^{n + 1}\) for all nonnegative integers \(n\).
Write 5 = 3 + 2, and expand using the Binomial Theorem. Then appy the Reduction Lemma to finish.
can you please explain more? like why would i write 5=3+2? how would i apply the binomial theorem to that?
