Trying to solve a question, but having a hard time starting it.(adsbygoogle = window.adsbygoogle || []).push({});

Question:

(n/3)^n < n! < (n/2)^n ; all integers n > 5

I proved the base case already and made the assumption of P(k) and am having difficulty knowing where to start on my proof of:

P(k+1): ( (k+1)/3)^k+1 < (k+1)! < ( (k+1)/2)^k+1

any help is greatly appreciated.

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# Math Induction

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