Question

Is $184$ a term of the sequence $3,7,11............?$ Write $1$ for yes and $0$ for no.

Answer 1

Given series is $3,7,11,.....$

Here $1^{st}$ term $\left(a\right)=3$ and common difference $\left(d\right)=7-3=4$
nth term $\left(a_n\right)=a+(n-1)d$
$\Rightarrow 184=3+(n-1)4$
$\Rightarrow 184=4n-1$
$\Rightarrow 185=4n$
$\Rightarrow n=\frac{185}{4}$
Since, $n$ is not a natural number
$\therefore$ $184$ is not a term of the given sequence.