Answer:
-1
Step-by-step explanation:
The nth term of a geometric sequence is:
aₙ = a₁ (r)ⁿ⁻¹
where a₁ is the first term and r is the common ratio.
Given that a₁ = -4096 and a₄ = 64:
64 = -4096 (r)⁴⁻¹
-1/64 = r³
r = -1/4
So the seventh term is:
a₇ = -4096 (-1/4)⁷⁻¹
a₇ = -1
