Question

Check whether $301$ is a term of the $A.P$ $5,11,17,23,..$ or not.

Answer 1

$a=5$ $d=6$

$301=a+(n-1)d$

$301=5+(n-1)6$

$\Rightarrow (n-1)=49.33$

$\Rightarrow n=50.333$

Since n is not an integer, therefore $301$ is not a term of AP.