# Which of the following are APs? If they form an A.P. find the common difference d and write three more terms. -1/2, -1/2, -1/2, -1/2 .... - Mathematics

Which of the following are APs? If they form an A.P. find the common difference d and write three more terms. -1/2, -1/2, -1/2, -1/2 ....

#### Solution

-1/2, -1/2, -1/2, -1/2 ....

Here,

a2 - a1 = (-1/2) - (-1/2) = 0

a3 - a2 = (-1/2) - (-1/2) = 0

a4 - a3 = (-1/2) - (-1/2) = 0

⇒ an+1 - an is same every time.

Therefore, d = 0 and the given numbers are in A.P.

Three more terms are

a5 = (-1/2) - 0 = -1/2

a6 = (-1/2) - 0 = -1/2

a7 = (-1/2) - 0 = -1/2

Is there an error in this question or solution?

#### APPEARS IN

NCERT Class 10 Maths
Chapter 5 Arithmetic Progressions
Exercise 5.1 | Q 4.08 | Page 99