(Q13).Find the 12th term of a G.P. whose 8 term is 192 and the common ratio is 2.

Given a G.P. such that a8 = and r =

an = a.rn-1

a8 = a.()8-1 = 192

a . 7 = 192 ⇒ a =
7
=
=
=
∴ a12 = a.r11 =
× ()11

= × 10 = × = .