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If the first term, common ratio and the last term of a G.P. are a, r and l respectively, then the nth term from the end of the G.P. is given by:

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Question

If the first term, common ratio and the last term of a G.P. are a, r and `l` respectively, then the nth term from the end of the G.P. is given by:

Options

  • $$lr^{n - 1}$$

  • $$lr^{1 - n}$$

  • $$\frac{l}{r^{1 - n}}$$

  • $$\frac{l}{r^{n + 1}}$$

MCQ
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Solution

`bb(lr^{1 - n})`

Explanation:

Moving one place backward from the last term divides by $$r$$. Thus, the $$n$$th term from the end is $$\frac{l}{r^{n - 1}} = lr^{1 - n}$$.

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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 2. | Page 181
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