For the following arithmetic progressions write the first term a and the common difference d:$\frac{1}{5}, \frac{3}{5}, \frac{5}{5}, \frac{7}{5}, ……$

Given:

Given A.P. is $\frac{1}{5}, \frac{3}{5}, \frac{5}{5}, \frac{7}{5}, ……$.

To do:

We have to write the first term a and the common difference d.

Solution:

In the given A.P.,

$a_1=\frac{1}{5}, a_2=\frac{3}{5}, a_3=\frac{5}{5}$

Therefore,

First term $a=a_1=\frac{1}{5}$

Common difference $d=a_2-a_1=\frac{3}{5}-\frac{1}{5}=\frac{3-1}{5}=\frac{2}{5}$.

The first term $a$ is $\frac{1}{5}$ and the common difference $d$ is $\frac{2}{5}$.