Question

State whether the following sequence is an A.P. or not:
$3,6,12,24,.....$

Answer 1

If difference between two consecutive terms are equal, then sequence is called an A.P.
Sequence is $3,6,12,24,....$
Here, $t_1=3,t_2=12,t_4=24$
$t_2-t_1=6-3=3$
$t_3-t_2=12-6=6$
$\therefore 3\ne 6$
$\therefore t_2-t_1\ne t_3-t_2$
$\therefore$ Sequence is not an A.P.