English

The 10th term of the G.P. $$1, –a, a^2, –a^3, ..........$$ is ______.

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Question

The 10th term of the G.P. $$1, -a, a^2, -a^3, ..........$$ is ______.

Options

  • $$a^9$$

  • $$-a^{10}$$

  • $$-a^{11}$$

  • $$-a^9$$

MCQ
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Solution

The 10th term of the G.P. $$1, -a, a^2, -a^3, ..........$$ is –a9.

Explanation:

The common ratio is $$-a$$, so $$T_{10}=1\times(-a)^9=-a^9$$.

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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 12. | Page 182
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