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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 2, 5/2, 3, 7/2 .... - 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 `2, 5/2, 3, 7/2 ....`

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Solution

`2, 5/2, 3, 7/2 ....`

Here,

a2 - a1 = `5/2 - 2 = 1/2`

a3 - a2 = `3 - 5/2 = 1/2`

a4 - a3 = `7/2 - 3 = 1/2`

⇒ an+1 - an is same every time.

Therefore, d = 1/2 and the given numbers are in A.P.

Three more terms are

a5 = `7/2 + 1/2 = 4`

a6 = `4 + 1/2 = 9/2`

a7 = `9/2 + 1/2 = 5`

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 4.02 | Page 99
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