English

The next term of the A.P. $$\sqrt{3}, \sqrt{12}, \sqrt{27}, \sqrt{48}, ......$$ is ______.

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Question

The next term of the A.P. $$\sqrt{3}, \sqrt{12}, \sqrt{27}, \sqrt{48}, ......$$ is ______.

Options

  • $$\sqrt{72}$$

  • $$\sqrt{68}$$

  • $$\sqrt{75}$$

  • $$\sqrt{56}$$

MCQ
Fill in the Blanks
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Solution

The next term of the A.P. $$\sqrt{3}, \sqrt{12}, \sqrt{27}, \sqrt{48}, ......$$ is `underlinebb(sqrt(75))`.

Explanation:

The terms are $$\sqrt{3}, 2\sqrt{3}, 3\sqrt{3}, 4\sqrt{3}$$, so the next term is $$5\sqrt{3} = \sqrt{75}$$.

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Chapter 10: Arithmetic Progression - COMPETENCY-FOCUSED QUESTIONS [Page 170]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 10 Arithmetic Progression
COMPETENCY-FOCUSED QUESTIONS | Q 18. | Page 170
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