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Which of the following are APs? If they form an A.P. find the common difference d and write three more terms. 0, - 4, - 8, - 12 … - Mathematics

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Which of the following are APs? If they form an A.P. find the common difference d and write three more terms. 0, - 4, - 8, - 12 …

 

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Solution

0, −4, −8, −12 …

It can be observed that

a2 − a1 = (−4) − 0 = −4

a3 − a= (−8) − (−4) = −4

a4 − a3 = (−12) − (−8) = −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 = − 12 − 4 = −16

a6 = − 16 − 4 = −20

a= − 20 − 4 = −24

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 4.07 | Page 99
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