Question

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

–1.1, –3.1, –5.1, –7.1, ...

Answer 1

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

−1.1, −3.1, −5.1, −7.1...

Here, the first term of the given A.P is (a) = −1.1

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

`a_2 - a_1 = -3.1 - (-1.1)`

`a_2 - a_1 = -2`

Similary

`a_3 - a_2 = -5.1 - (-3.1)`

`a_3 - a_2 = -2`

Also

`a_4 - a_3 = -7.1 - (-5.1)`

`a_4 - a_3 = -2`

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

Therefore the fist term A.P is a = –1.1 and the common difference is `d = -2`.