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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. 0.2, 0.22, 0.222, 0.2222 …. - 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. 0.2, 0.22, 0.222, 0.2222 ….

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Solution

0.2, 0.22, 0.222, 0.2222 ….

It can be observed that

a2 − a1 = 0.22 − 0.2 = 0.02

a3 − a= 0.222 − 0.22 = 0.002

a4 − a3 = 0.2222 − 0.222 = 0.0002

i.e., ak+1 − ak is not the same every time.

Therefore, the given numbers are not in A.P.

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 4.06 | Page 99
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