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

Question

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

A. 4374

B. 7434

C. 4370

D. 7443

Answer: A

Solution:

Clearly, 2 x 3 = 6,

6 x 3 = 18,

18 x 3 = 54,…..

So, the series is a G.P. in which a = 2, r = 3.

Therefore 8th term = ar^8-1 = ar⁷ = 2 x 3⁷ 

= (2 x 2187)

= 4374