Question

Simplificação de Fatoriais!!
(n +1)! + n!/2n! R n+2/2
Como resolve??

Answer 1

Fica assim:

$\dfrac{(n + 1)! + n!}{2n!} \\ \\ \\ \dfrac{((n + 1)! + n!) * 2n!}{2n! *2n!} \\ \\ \\ \dfrac{(2n + 4) *n!^2}{4n!^2} \\ \\ \\ \dfrac{2*(n + 2) *\not n!^2}{4\not n!^2} \\ \\ \\ \dfrac{2*(n + 2) }{4} \\ \\ \\ => \dfrac{(n + 2) }{2}$