Consider the geometric sequence 16/9, 8/3, 4, 6, 9.... What is the eighth term of the sequence in a common fraction?

To find the common ratio, you can divide the second term by the first:  (8/3) / (16/9)  =  (8/3) x (9/16)  =  3/2

 

To find the eighth term:  (16/9) x (3/2)⁷  =  your answer.