SOLUTION: For any positive integer n, ((n+1)!/n!)-n = The answer is 1 Please explain....

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Question 760903: For any positive integer n, ((n+1)!/n!)-n =
The answer is 1 Please explain....
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
((n+1)!/n!)-n =
work the terms inside the parenthesis first
note that (n+1)! = (n+1)*n!, so
(n+1)*(n)! / n! = n+1 because the n! terms cancel
we are left with
n+1 - n = 1