In a G.P. If the third term of a GP is 2/3 and 6th term is 2/81 , then the first term is

Option A: 6. Solution: PYQ Nov 18, MTP March 22

In a G.P. If the third term of a GP is 2/3 and 6th term is 2/81 , then the first term is

The correct answer is Option A: 6. PYQ Nov 18, MTP March 22

Sequence and SeriesMCQPYQ Nov 18, MTP March 22Question 6810 of 116

All Questions

In a G.P. If the third term of a GP is $\displaystyle$ and $\displaystyle 6^{th}$ term is $\displaystyle$ , then the first term is

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

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Correct Answer

✅ Option A — $\displaystyle 6$

All Options:

A $\displaystyle 6$ ✓
B $\displaystyle 1/3$
C $\displaystyle 9$
D $\displaystyle 2$

Detailed Solution & Explanation

PYQ Nov 18, MTP March 22

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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In a G.P. If the third term of a GP is 23\displaystyle 23\displaystyle \frac{2}{3}32​32​ and 6th\displaystyle 6^{th}6th term is 281\displaystyle 281\displaystyle \frac{2}{81}812​812​, then the first term is