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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 sqrt3, sqrt6, sqrt9, sqrt12 ... - CBSE Class 10 - Mathematics

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Question

Which of the following are APs? If they form an A.P. find the common difference d and write three more terms `sqrt3, sqrt6, sqrt9, sqrt12 ...`

Solution

√3, √6, √9, √12 ...

Here,

a2 - a1 = `sqrt6 - sqrt3 = sqrt3 × 2 -sqrt3 = sqrt3(sqrt2 - 1)`

a3 - a2 = `sqrt9 - sqrt6 = 3 - sqrt6 = sqrt3(sqrt3 - sqrt2)`

a4 - a3 = `sqrt12 - sqrt9 = 2sqrt3 - sqrt3 × 3 = sqrt3(2 - sqrt3)`

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

Therefore, the given numbers are forming an A.P.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 5: Arithmetic Progressions
Ex. 5.10 | Q: 4.13 | Page no. 100
Solution Which of the following are APs? If they form an A.P. find the common difference d and write three more terms sqrt3, sqrt6, sqrt9, sqrt12 ... Concept: Arithmetic Progression.
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