Question

What is the 6th term of the geometric sequence where a1 = −4,096 and a4 = 64?

Answer 1

4

Explanation:

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Answer 2

First, we need to solve for the common ratio from the data given by using the equation.

a(n) = a(1) r^(n-1)
64 = -4096r^(4-1)
64 = -4096r^3
r = -1/4

Then, we can find the 6th term as follows:

an = -4096 r^(6-1)
an = -4096(-1/4)^5

an = 4