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The 4th term from the end of the G.P. $$\frac{2}{27}, \frac{2}{9}, \frac{2}{3}, ......., 162$$ is ______.

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Question

The 4th term from the end of the G.P. $$\frac{2}{27}, \frac{2}{9}, \frac{2}{3}, ......., 162$$ is ______.

Options

  • 18

  • 2

  • 6

  • $$\frac{2}{3}$$

MCQ
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Solution

The 4th term from the end of the G.P. $$\frac{2}{27}, \frac{2}{9}, \frac{2}{3}, ......., 162$$ is 6.

Explanation:

The common ratio is $$3$$. The fourth term from the end is $$\frac{162}{3^3} = 6$$.

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Chapter 11: Geometric Progression - COMPETENCY-FOCUSED QUESTIONS [Page 182]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 11 Geometric Progression
COMPETENCY-FOCUSED QUESTIONS | Q 19. | Page 182
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