Question

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

(i) a = 10, d = 10
(ii) a = -2, d = 0

​

Answer 1

S O L U T I O N :

(I) a = 10, d = 10.

Let,

• The arithmetic progression series be t1, t2, t3, t4,...

$\implies$ t1 = a = 10

$\implies$ t2 = t1+d = 10+10 = 20

$\implies$ t3 = t2+d = 20+10 = 30

$\implies$ t4 = t3+d = 30+10 = 40

Therefore,

The A.P. series will be 10, 20, 30, 40,...

(II) a = -2, d = 0.

Let,

• The arithmetic progression series be t1, t2, t3, t4,...

$\implies$ t1 = a = -2

$\implies$ t2 = t1+d = -2+0 = -2

$\implies$ t3 = t2+d = -2 + 0 = -2

$\implies$ t4 = t3+d = -2 + 0 = -2

Therefore,

The A.P. series will be -2 , -2, -2 , -2 ,...