Sequence and SeriesMCQPYQ Jun 22, MTP Dec 22 - Series IQuestion 6814 of 116

The sum of first eight terms of geometric progression is five times the sum of the first four terms. The common ratio is

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

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Correct Answer

✅ Option B —

\displaystyle \sqrt{2}

All Options:

A $\displaystyle \sqrt{3}$
B $\displaystyle \sqrt{2}$ ✓
C $\displaystyle 4$
D $\displaystyle 2$

Detailed Solution & Explanation

PYQ Jun 22, MTP Dec 22 - Series I

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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