Question

Assunto: Fatorial
preciso dos cálculos também

Answer 1

1)

$\frac{A_n_+_1,_n}{A_n,_n_-_1}\\\\ \frac{\frac{(n+1)!}{(n+1-n)!}}{\frac{n!}{n-(n-1)!}}\\\\\ \frac{\frac{(n+1)!}{1!}}{\frac{n!}{1!}}\\\\ \frac{(n+1)!}{n!}\\\\ \frac{(n+1)*n!}{n!}\\\\ \boxed{(n+1)}$

2)

$\frac{A_3_n_-_1,_2}{A_2_n_-_3,_2}\\\\ \frac{(3n-1)!}{(3n-1-2)!}\\ \frac{(2n-3)!}{(2n-3-2)!}\\\\ \frac{(3n-1)!(2n-5)!}{(3n-3)!(2n-3)!}\\\\ \frac{(3n-1)(3n-2)(3n-3)!(2n-5)!}{(3n-3)!(2n-3)(2n-4)(2n-5)!}\\\\ \boxed{\frac{(3n-1)(3n-2)}{(2n-3)(2n-4)}}$