Question

(n+2)!+(n+1)!
(n+1)!

Answer 1

$\frac{(n+2)!+(n+1)!}{(n+1)!} = \\ \frac{(n+2).(n+1)!+(n+1)!}{(n+1)!} = \\ \frac{(n+2).1+1}{1} = \\ (n+2)+1 = \\ n+3$