I am trying to prove for all natural $n$ that: $$5^n + 5 < 5^{n+1}$$
I did the basic step with $n=1$ and inequality holds, I am now at the induction step: $$5^{k+1} + 5 < 5^{k+2}$$
and I have no idea how to proceed from here. Can someone give me a clue?