Question

The first term of an A.P. is $6$ and the common difference is $5$. Find the A.P. and its general term.

Answer 1

It is given that the first term of an A.P is $a=6$ and the common difference is $d=5$.

Let us find the following terms:

$a+d=6+5=11$

$a+2d=6+(2\times 5)=6+10=16$

$a+3d=6+(3\times 5)=6+15=21$

We know that the general form of an arithmetic progression with first term $a$ and common difference $d$ is $a,a+d,a+2d,......$

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

Hence, the required A.P is $6,11,16,21,......$