Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?

Step-by-step explanation:

Given:

Fifth term of a geometric sequence =

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = , where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

Cross multiply

Divide both sides by 16

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term =

nth term =

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step-by-step explanation:

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