Answer:
Step-by-step explanation:
The first term of the given sequence is a(1) = 64. Each succeeding term is found by multiplying the present one by (-3/4), and so (-3/4) is the common ratio. Then the geometric sequence represented here is
a(n) = a(1)*(-3/4)^(n - 1), or, specifically,
a(n) = 64*(-3/4)^(n - 1)
Alternatively: a(n) = a(n - 1)*(-3/4). or a(n) = (-3/4)a(n - 1)