Sequence and SeriesMCQPYQ Sep 24Question 6797 of 116
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If for an infinite geometric progression, first term is 'a\displaystyle a', common ratio is 'r\displaystyle r', the sum is 8 and the second term is 78\displaystyle 78\displaystyle \frac{7}{8}, then

Select Your Answer (Keyboard: A, B, C, D)
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Correct Answer

✅ Option C — a=7&r=18\displaystyle a=7 \& r=\frac{1}{8}

All Options:

  • Aa=4&r=716\displaystyle a=4 \& r=\frac{7}{16}
  • Ba=3&r=724\displaystyle a=3 \& r=\frac{7}{24}
  • Ca=7&r=18\displaystyle a=7 \& r=\frac{1}{8} ✓
  • Da=7&r=732\displaystyle a=7 \& r=\frac{7}{32}

Detailed Solution & Explanation

PYQ Sep 24

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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