Find an explicit rule for the nth term of the sequence. -4, -8, -16, -32, ...

A) an = -4 • 2n - 1
B) an = 2 • -4n + 1
C) an = 2 • -4n
D) an = -4 • 2n

An explicit rule for the nth term of the sequence will be:

Thus, option (A) is true.

Step-by-step explanation:

Given the sequence

A geometric sequence has a constant ratio r and is defined by

Computing the ratios of all the adjacent terms

As the ratio 'r' is the same.

so

as

Hence, the nth term of the sequence will be:

substituting the values and

Therefore, an explicit rule for the nth term of the sequence will be:

Thus, option (A) is true.

step-by-step explanation: