Answer:
7th term is -1
Step-by-step explanation:
Mathematically, we have the nth term of a geometric sequence as:
Tn = ar^(n-1)
where a is the first term
n is the number of terms
T4 = ar^3
64 = -4096 * r^3
r^3 = -64/4096
r^3 = -1/64
r^3 = (-1/4)^3
r = -1/4
The 7th term is:
T7 = ar^6
T7 = -4,096 * (-1/4)^6
T7 = -1
The 7th term is -1
