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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?

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    The second hint: for positive $x,y:$ if $x > y + 25$ then $x > x + 5.$2012-07-15

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