Question

simplifique a expressão:
(2n+2)! / (2n+1)!

Answer 1

Observe que:

$(2n+2)!=(2n+2)(2n+1)!$.

Assim, $\dfrac{(2n+2)!}{(2n+1)!}=\dfrac{(2n+2)(2n+1)!}{(2n+1)!}=2n+2$.

Logo, $\dfrac{(2n+2)!}{(2n+1)!}=(2n+2)=\boxed{2(n+1)}$.