Evaluate the infinite geometric series: 3/2 + 2/3 + 8/27 + 32/243 + ...
The common ratio = (2/3) / (3/2) = (2/3) (2/3) = 4/9
Sum =
(3/2) / ( 1 - 4/9) =
(3/2) / ( 5/9) = (3/2) ( 9/5) = 27 / 10