Question

Simplifique a expressão abaixo e assinale a alternativa correta. (n+2)! + (n+1)/(n+1)

Answer 1

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

se,

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

logo,

$\frac{(n+2*n+1)+n+1}{n+1}$

$\frac{(n+2*n+1)+n+1}{n+1}=\frac{(n+2*n+1)}{n+1}+\frac{n+1}{n+1}$

$\frac{(n+2*n+1)}{n+1}+1=n+2+1$

então,

$n+3$