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

Algebra ->  Probability-and-statistics -> SOLUTION: Show that (n + 1)^2 is a divisor of (n + 1)! + n! + (n - 1)!.      Log On


   

Question 747168: Show that (n + 1)^2 is a divisor of (n + 1)! + n! + (n - 1)!.
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
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