Question

CALCULE:

A)8!

B)4!5!

C)10!/9!

D)(n+1!)!/(n-1)!

Answer 1

Resposta:

Olá bom  dia!

A)

8! = 8*7*6*5*4*3*2*1 = 40.320

B)

4!5! = (4*3*2*1)*(5*4*3*2*1) = 24 * 120 = 2.880

C)

$\frac{10!}{9!} = \frac{10 * 9! }{9!} = 10$

D)

1! = 1

(n + 1!)! = (n + 1)!

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