Question

State with reason, whether the sequence $12,14,16,18,22,24,2,28,32,34,36,38,$ is an $\text{A.P.}$ or not.

Answer 1

The given sequences are not in A.P

Because

Here $a=12$

$d=14-12=2$

$d=16-14=2;d=18-16=2$

$d=18-22=4$

The common difference in the sequence is not constant for each term.

sometimes it is $2$ or $4.$