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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

#### 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

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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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