Advertisement Remove all ads

Which of the following are APs? If they form an A.P. find the common difference d and write three more terms. -10, - 6, - 2, 2 … - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

Which of the following are APs? If they form an A.P. find the common difference d and write three more terms. -10, - 6, - 2, 2 …

Advertisement Remove all ads

Solution

−10, −6, −2, 2 …

It can be observed that

a2 − a1 = (−6) − (−10) = 4

a3 − a= (−2) − (−6) = 4

a4 − a3 = (2) − (−2) = 4

i.e., ak+1 − ak is same every time. Therefore, d = 4

The given numbers are in A.P.

Three more terms are

a5 = 2 + 4 = 6

a6 = 6 + 4 = 10

a7 = 10 + 4 = 14

Concept: Arithmetic Progression
  Is there an error in this question or solution?

APPEARS IN

NCERT Class 10 Maths
Chapter 5 Arithmetic Progressions
Exercise 5.1 | Q 4.04 | Page 99
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×