Question

03) Resolva as equações:

a) 6.(n+3)! = (n + 4)!

b) n ! / (n - 1)! = 30 ​

Answer 1

Assunto: expressão fatorial

a)

6*(n + 3)! = (n + 4)!

6*(n + 3)! = (n + 4)*(n + 3)!

n+4 = 6

n = 6 - 4

n = 2

b)  

n!/(n - 1)! = 30

n! = 30*(n - 1)!

n*(n - 1)! = 30*(n - 1)!

n = 30