Question

What is the 10th term of the geometric sequence that has a common ratio of 1 over three and 36 as it’s fifth term?

Answer 1

4/27

Explanation:

a_5 = 36

r = 1/3

a_6 = 36 × 1/3 = 12

a_7 = 12 × 1/3 = 4

a_8 = 4 × 1/3 = 4/3

a_9 = 1/3 × 4/3 = 4/9

a_10 = 1/3 × 4/9 = 4/27