Question

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

0.3, 0.55, 0.80, 1.05, ...

Answer 1

0.3, 0.55, 0.80, 1.05, ...

Here, first term of the given A.P is (a) = 0.3

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

`a_2 - a_1 = 0.55 - 0.3`

`a_2 - a_1 = 0.25`

Similarly,

`a_3 - a_2 = 0.80 - 0.55`

`a_3 - a_2 = 0.25`

Also

`a_3 - a_3 = 1.05 - 0.80`

`a_4 - a_3 = 0.25`

As  `a_2 - a_1 = a_3 - a_2 = a_4  - a_3 = 0.25` 

Therefore the first term od A.P. is a = 0.3 and the commmon differece is d = 0.25.