Question

Write the arithmetic progression when first term a and common difference d is as follows:

a = 4, d = –3

Answer 1

In the given problem, we are given its first term (a) and common difference (d).

We need to find the A.P

a = 4, d = -3

Now as a = 4

A.P would be represented by `a, a_1,a_2,a_3,a_4 ..........`

So,

`a_1 = a + d`

`a_1 = 4 + (-3)`

`a_1 = 1`

Similarly

`a_2 = a_1 + d`

`a_2 = 1 + (-3)`

`a_2= -2`

Also

`a_3 = a_2  + d`

`a_3 = -2 + (-3)`

`a_3 = -5`

Futher

`a_4 = a_3 + d`

`a_4 = -5 + (-3)`

`a_4 = -8`

Therefore, A.P with a = 4 and d = -3 is 4, 1, -2, -5, -8......