Question

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

`a = -1, d = 1/2`

Answer 1

`a = -1, d = 1/2`

Now as a = -1

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

So,

`a_1 = a + d`

`a_1 = -1 + (1/2)`

`a_1 = (-2 + 1)/2`

`a_1 = (-1)/2`

Similarly

`a_2 = a_1 + d`

`a_2= (-1)/2 + (1/2)`

`a_2 = 0`

Also

`a_3 = a_2 + d`

`a_3 = 0 + (1/2)`

`a_3 = 1/2`

Further

`a_4 = a_3  +d`

`a_4 = (1/2) + (1/2)`

`a_4 = 2/2`

`a_4 = 1`

Therefore, A.P with a = 4 and d = -3 is `-1, (-1)/2 , 0 , 1/2, 1,.... `