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The sum of n terms of a G.P. with first term a and common ratio r, when r = 1, is given by:

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Question

The sum of n terms of a G.P. with first term a and common ratio r, when r = 1, is given by:

Options

  • $$S_n = \frac{a(1 - r^n)}{1 - r}$$

  • $$S_n = \frac{a(r^n - 1)}{r - 1}$$

  • $$n^2a$$

  • $$na$$

MCQ
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Solution

`bb(na)`

Explanation: 

When $$r = 1$$, every term equals $$a$$. Therefore, the sum of $$n$$ terms is $$a + a + \cdots + a = na$$.

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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 3. | Page 181
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