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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. 12, 52, 72, 73 … - 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. 12, 52, 72, 73 …

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Solution

12, 52, 72, 73 …

Or 1, 25, 49, 73 …

It can be observed that

a2 − a1 = 25 − 1 = 24

a3 − a= 49 − 25 = 24

a4 − a3 = 73 − 49 = 24

i.e., ak+1 − ak is same every time.

Therefore, the given numbers are in A.P.

And, d = 24

Three more terms are

a5 = 73+ 24 = 97

a6 = 97 + 24 = 121

a= 121 + 24 = 145

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 4.15 | Page 100
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