Question

Write the next two terms of the A.P. Whose first term is $3$ and the common difference is $4$.

Answer 1

general term of an A.P. with first term $a$ and common difference $d$ is given by,

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

Here given $a=3,d=4$

So, $a_n=3+(n-1)4=4n-1$

Thus $a_2=4\left(2\right)-1=7$

and $a_3=4\left(3\right)-1=11$

Hence the next two terms of the A.P. are $7$ and $11$