Question

Write the next two terms of the following sequence $6,12,24$ ,____,___

Answer 1

In the given sequence is $6,12,24,......$, the first term $t_1=6$, second term $t_2=12$ and third term $t_3=24$. So, we observe that

$t_2=2t_1=2\times 6=12$ and

$t_3=2t_2=2\times 12=24$

Therefore, the next two terms of the sequence is:

$t_4=2t_3=2\times 24=48$ and

$t_5=2t_4=2\times 48=96$

Hence, the next two terms are $48$ and $96$.