+288 Prove that \(5^{3^n}+1\) is divisible by \(3^{n+1}\) for all nonnegative integers \(n.\)
What I did (or tried to do) was to use induction. I proved it worked for the base case \(0,\) but I'm stuck on how to prove it works for \(n=k+1\) if we assume it works for \(n=k.\) Help!
--------Thanks! 
