Question

simplifique a expressão abaixo

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

Answer 1

Resposta:

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