Respuesta :

Answer:

see explanation

Step-by-step explanation:

These are the terms of a geometric sequence with n th term formula

[tex]a_{n}[/tex] = a [tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio

r = [tex]\frac{-48}{64}[/tex] = [tex]\frac{36}{-48}[/tex] = - [tex]\frac{3}{4}[/tex]

the first term a = 64, hence

[tex]a_{n}[/tex] = 64 [tex](-3/4)^{n-1}[/tex]