Question

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

Answer 1

Common ratio, r = 2

Let a be the first term of the G.P.

∴ a₈ = ar ^8–1 = ar⁷

⇒ ar⁷ = 192

a(2)⁷ = 192

a(2)⁷ = (2)⁶ (3)