Question

The number of terms common to the two $A.P^{\prime }s3,7,11,....,407$ and $2,9,16,709$ is _____________

Answer 1

Answer: 14.00

Common term are : $23,51,79,.....T_n$
$T_n\le 407\Rightarrow 23+\left(n-1\right)28\le 407$
$\Rightarrow n\le 14.71$
$n=14$