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Following are APs or not? If they form an A.P. find the common difference d and write three more terms: 2, 4, 8, 16 … - Mathematics

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Question

Following are APs or not? If they form an A.P. find the common difference d and write three more terms: 

2, 4, 8, 16 … 

Sum

Solution

2, 4, 8, 16 …

Here,

a2 - a1 = 4 - 2 = 2

a3 - a2 = 8 - 4 = 4

a4 - a3 = 16 - 8 = 8

⇒ ak+1 - ak is not the same every time.

Therefore, The given numbers do not form an AP.

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Chapter 5: Arithmetic Progressions - Exercise 5.1 [Page 99]

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NCERT Mathematics [English] Class 10
Chapter 5 Arithmetic Progressions
Exercise 5.1 | Q 4.01 | Page 99

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