The common ratio of the GP is 3/2.
Step-by-step explanation:
⇒ a(1) = 3^1-1/2^1 = 3^0/2 = 1/2
⇒ a(2) = 3^2-1/2^2 = 3^1/4 = 3/4
⇒ r = a(2)/a(1) = 3/4 ÷ 1/2 = 3/4 × 2/1 = 3/2