Question

11 of 16

What would be the first five terms of sequence whose first term is 1 and has a common ratio of 1/3?

Answer 1

Explanation:

This is a geometric sequence; we know that because of the words "common ratio." The general formula for a geometric sequence is

a(n) = a(1)*r^(n - 1), where r is the common ratio.

Here, a(1) = 1, r = 1/3, and so

a(1) = 1 (given)

a(2) = 1/3 (this is a(1) multiplied by 1/3)

a(3) = 1/9 (this is a(2) multiplied by 1/3)

a(4) = 1/27

a(5) = 1/81