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

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Sum

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 …

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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

  Is there an error in this question or solution?
Chapter 5: Arithmetic Progressions - Exercise 5.1 [Page 99]

APPEARS IN

NCERT Mathematics Class 10
Chapter 5 Arithmetic Progressions
Exercise 5.1 | Q 4.04 | Page 99

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