What is the sixth term in the geometric sequence 27125,925,35,…? Express your answer as a common fraction.
$27125,925,35,…$
The series is
27 (1/3)^(n - 1)
____ * where n is the nth term
125 (1/5)^(n - 1)
So.......the 6th term is
27 * (1/3)^5 / [125 * (1/5)^5] =
(27 / 243) / [ 125 /3125] =
(1/9) / (1/25) =
25/9