# Which of the following are APs? If they form an A.P. find the common difference d and write three more terms. a, 2a, 3a, 4a … - 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. a, 2a, 3a, 4a …

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#### Solution

a, 2a, 3a, 4a …

It can be observed that

a2 − a1 = 2a − a = a

a3 − a= 3a − 2a = a

a4 − a3 = 4a − 3a = a

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

The given numbers are in A.P.

Three more terms are

a5 = 4a + a = 5a

a6 = 5a + a = 6a

a= 6a + a = 7a

Concept: Arithmetic Progression
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Chapter 5: Arithmetic Progressions - Exercise 5.1 [Page 100]

#### APPEARS IN

NCERT Class 10 Maths
Chapter 5 Arithmetic Progressions
Exercise 5.1 | Q 4.1 | Page 100

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