Question

Find the next term of the sequence:

$3,6,12,24,..........$

• A. $32$
• B. $48$
• C. $54$
• D. $64$

Answer 1

The correct option is B $48$

Given series is $3,6,12,24,....$

First term $t_1=a=3$

Second term $t_2=6=3\times 2=2a$

Third term $t_3=12=3\times 2^2=2^{2}a$

Fourth term $t_4=24=3\times 2^3=2^{3}a$

So, this is a GP with first term $a=3$ and common ratio $r=2$

Thus, the next term is $t_5=a{r}^4=3\times 2^4=48$

Hence, the answer is $48$.