Write first four terms of the A.P. when the first term a and the common difference are given as follows:   
Write first four terms of the A.P. when the first term a and the common difference are given as follows:   

(i) a = 4, d = – 3 

(ii) a = -1 d = 1/2

Solution(i):

Assume that the Arithmetic Progression series is  a1, a2, a3, a4, a5 …

a1 = a = 4

a2 = a1+d = 4-3 = 1

a3 = a2+d = 1-3 = – 2

a4 = a3+d = -2-3 = – 5

As a result, the A.P. series will continue to be 4, 1, – 2 – 5 …

And, therefore the first four terms of this A.P. will be 4, 1, – 2 and – 5.

Solution(ii):

Assume that the Arithmetic Progression series is  a1, a2, a3, a4, a5 …

a2 = a1+d = -1+1/2 = -1/2

a3 = a2+d = -1/2+1/2 = 0

a4 = a3+d = 0+1/2 = 1/2

As a result, the A.P. series will continue to be -1, -1/2, 0, 1/2

And, therefore the first four terms of this A.P. will be -1, -1/2, 0 and 1/2.