Question

Check whether $301$ is a term of the list of numbers $5,11,17,23,...?$

Answer 1

Given sequence $5,11,17,\mathrm{23...}$

$11-5=17-11=23-17=6$

Given is A.P series with common difference$=d=6$

$a=5$

Consider $301$ be $(m+1{)}^{th}$ term

$a+md=3015+6m=3016m=296m=\frac{148}{3}$

m is not Integer

$301$ is not in series.