Question

Find the next two terms of the following sequence : $2,4,6,8,$.........

Answer 1

Given series is $2,4,6,8,....$

Here, $t_1=2=2\times 1$, $t_2=4=2\times 2$, $t_3=6=2\times 3$, $t_4=8=2\times 4$
Therefore, $t_n=2n$
$\Rightarrow t_5=2\times 5=10$
$\Rightarrow t_6=2\times 6=12$
Hence, the next two terms are $10$ and $12$.