English

The common ratio of the G.P. $$–\frac{3}{4}, \frac{1}{2}, –\frac{1}{3}, \frac{2}{9}, ......$$ is ______.

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Question

The common ratio of the G.P. $$-\frac{3}{4}, \frac{1}{2}, -\frac{1}{3}, \frac{2}{9}, ......$$ is ______.

Options

  • $$-\frac{4}{3}$$

  • $$-\frac{2}{3}$$

  • $$\frac{2}{3}$$

  • $$-\frac{3}{8}$$

MCQ
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Solution

The common ratio of the G.P. $$-\frac{3}{4}, \frac{1}{2}, -\frac{1}{3}, \frac{2}{9}, ......$$ is `underlinebb(-2/3)`.

Explanation:

Dividing the second term by the first gives $$\frac{1/2}{-3/4} = -\frac23$$, which is the common ratio.

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Chapter 11: Geometric Progression - COMPETENCY-FOCUSED QUESTIONS [Page 181]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 11 Geometric Progression
COMPETENCY-FOCUSED QUESTIONS | Q 8. | Page 181
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