In the series 2, 6, 18, 54, ...., what will be the 8th term ?

Answer: Option B

Clearly, 2 × 3 = 6, 6 × 3 = 18, 18 × 3 = 54,..............
S, the series is a G.P. in which a = 2, r = 3
∴8th term = ar^{(8 - 1)}= ar⁷ = 2 × 3⁷ = (2 × 2187) = 4374