Question

For the following arithmetic progressions write the first term a and the common difference d:

`1/5, 3/5, 5/5, 7/5`

Answer 1

In the given problem, we need to write the first term (a) and the common difference (d) of the given A.P

`1/5, 3/5, 5/5, 7/5`

Here, the first term of the given A.P is (a) = 1/5

Now, we will find the difference between the two terms of the given A.P

`a_2 - a_1 = 3/5 - 1/5`

`a_2 - a_1 = 2/5`

Similarly

`a_3 - a_2 = 5/5 - 3/5`

`a_3 - a_2 = 2/5`

Also

`a_4 - a_3 = 7/5 - 5/5`

`a_4 - a_3 = 2/5`

As `a_2 - a_1 = a_3 - a_2 = a_4 - a_3  = 2/5`

Therefore, the first term of the given A.P is `a = 1/5` and the common difference is `d = 2/5`