CBSE Class 10 Mathematics Standard 2023: question 3

Hints

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Step-by-step solution

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1. Simplify each term: $\sqrt{6}$, $\sqrt{24}=2\sqrt{6}$, $\sqrt{54}=3\sqrt{6}$.

2. The common difference is $d=\sqrt{6}$, so the next term is $3\sqrt{6}+\sqrt{6}=4\sqrt{6}$.

3. $4\sqrt{6}=\sqrt{16\times 6}=\sqrt{96}$. So the answer is option (B).

   1 mark

Answer: $\sqrt{96}$, option (B)

Revise the chapter

• Chapter: Arithmetic Progressions (notes, formulas, where marks are lost and every past question)