Sequence and SeriesPYQ Jan 26Question 4107 of 143
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A GP series consists of 2n terms. If the sum of the terms occupying the odd places is S1\displaystyle S_1 and that of the terms in even places is S2\displaystyle S_2, the common ratio of the progression is?

Options

An
B2S1\displaystyle 2S_1
CS2S1\displaystyle \frac{S_2}{S_1}
DS1S2\displaystyle \frac{S_1}{S_2}
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Correct Answer

✅ Option c — S2S1\displaystyle \frac{S_2}{S_1}

All Options:

  • An
  • B2S1\displaystyle 2S_1
  • CS2S1\displaystyle \frac{S_2}{S_1}
  • DS1S2\displaystyle \frac{S_1}{S_2}

About This Chapter: Sequence and Series

Paper

Paper 3: Quantitative Aptitude

Weightage

4-6 Marks

Key Topics

Arithmetic & Geometric Progressions

This chapter covers Arithmetic Progressions (AP) and Geometric Progressions (GP). Students learn how to find the nth term, sum of n terms, arithmetic/geometric means, and sum to infinity of a GP.

View Official ICAI Syllabus

Exam Strategy Tip

For complex 'sum of series' questions, a great hack is to substitute n = 1 and n = 2 into the question and the options to see which one matches, completely bypassing the formula.

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