SOLUTION: Simplify 3(n + 1)! / 5n!

Question 207526: Simplify
3(n + 1)! / 5n!
Answer by HyperBrain(694) (Show Source): You can put this solution on YOUR website!
Note that (n+1)!=(n+1)(n)(n-1)(n-2)...(1)
But, n!=n(n-1)(n-2)...(1)
So, (n+1)!=n!(n+1)
Then,
3(n + 1)! / 5n!=3n!(n+1)/5n!
n! is common to the numerator and the denominator.
So,
3n!(n+1)/5n!=3(n+1)/5= (3n+3)/5
Power up,
HyperBrain!
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