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Prove that \(5^{3^n} + 1\) is divisible by \(3^{n + 1}\) for all nonnegative integers \(n\).

 Oct 8, 2020
 #1
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Write 5 = 3 + 2, and expand using the Binomial Theorem.  Then appy the Reduction Lemma to finish.

 Oct 8, 2020
 #2
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can you please explain more? like why would i write 5=3+2? how would i apply the binomial theorem to that?

Guest Oct 8, 2020

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