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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. -1/2, -1/2, -1/2, -1/2 .... - 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. -1/2, -1/2, -1/2, -1/2 ....

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Solution

`-1/2, -1/2, -1/2, -1/2 ....`

Here,

a2 - a1 = `(-1/2) - (-1/2) = 0`

a3 - a2 = `(-1/2) - (-1/2) = 0`

a4 - a3 = `(-1/2) - (-1/2) = 0`

⇒ an+1 - an is same every time.

Therefore, d = 0 and the given numbers are in A.P.

Three more terms are

a5 = `(-1/2) - 0 = -1/2`

a6 = `(-1/2) - 0 = -1/2`

a7 = `(-1/2) - 0 = -1/2`

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 4.08 | Page 99
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