Question

1) Calcule o valor

(FATORIAL)

(n+2)! = 2 / 3.n!
​

~~~~~~~~~~~~~
(n+2) ! =2
3.n!

Answer 1

Resposta:

n = 1

Explicação passo-a-passo:

$\frac{(n+2)!}{3n!}=2\\\\\frac{(n+2)(n+1)n!}{3n!}=2\\\\(n+2)(n+1)=6\\\\n^2+3n+2-6=0\\\\n^2+3n-4=0\\\\Delta = 3^2-4.1.(-4)\\\\Delta= 25\\\\n=\frac{-3-5}{2.1}=-4(nao\:serve) ou\\\\x=\frac{-3+5}{2}=\frac{2}{2}=1$