Question

Find the next two terms in the sequence: $2,4,8,16,.....$

Answer 1

$t_1=2$
$t_2=4=2\times 2=t_1\times 2$
$t_3=8=4\times 2=t_2\times 2$
$\therefore t_n=2t_{n-1}$
$t_5=2t_4=2\times 16=32$
$t_6=2t_5=2\times 32=64$
$\therefore$ The next two terms of the sequence are $32,64$.