Some trouble understanding this basic inequality proof

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  • Thread starter Terrell
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    Inequality Proof
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Terrell
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just starting out with proofs... i tried manipulating the right side of the inequality, but i don't see why it's equal to (n+1)!
 
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  • Typeset proof of n! < (n/2)^n for n ≥ 6: the inductive step chains (n+1)/2 to the n+1 power, then (n+1)/n factors, then (n/2)^n, ending with a circled term ((n+1)/2) times 2 times n! equals (n+1)!.
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oh nevermind. i got it. (n+1)! = (n+1)*n*(n-1)*...
 

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