What is the seventh term of the geometric sequence were a one equals - 4096 and a four equals 64

-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