Friday, May 10, 2013

Show that (n + 1)^2 is a divisor of (n + 1)! + n! + (n - 1)!


the key is to rewrite the factorials so that they are in terms of (n-1)! 

 

%0D%0A%28%28n+%2B+1%29%2An%2B+n+%2B+1%29%28n-1%29%21%0D%0A%0D%0A 
and then... 

%0D%0A%28n+%2B+1%29%5E2%28n-1%29%21%0D%0A

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