Question

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

• A. $4370$
• B. $4374$
• C. $7443$
• D. $7434$

Answer 1

The correct option is B $4374$

Clearly, $2\times 3=6$, $6\times 3=18$, $18\times 3=54$, ......
So, the series is G.P.in which a = 2, r = 3.
$\therefore 8^{th}$ term = $a{r}^{(8-1)}={ar}^7=2\times 3^7=(2\times 2187)=4374$