Question

Find the next term of the sequence:

$2,4,8,16,..........$

• A. $68$
• B. $24$
• C. $12$
• D. $32$

Answer 1

The correct option is D $32$

Given sequence is $2,4,8,16,..........$

Here $t_1=2,t_2=4,t_3=8,t_4=16$

$t_2=2(2{)}^1=4$
$t_3=2(2{)}^2=8$
$t_4=2(2{)}^3=16$

Clearly it is a GP with first term $a=2$ and common ratio $r=2$
So, $t_n=a{r}^{n-1}$
$\therefore t_5=2(2{)}^4=32$

Hence, the answer is $32$.