For what values of $X$, the number $\frac{-2}{7}, X, \frac{-7}{2}$ are in G.P.?
Options
A$\pm 1$
B$\pm 3$
C$\pm \sqrt{2}$
DNone
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Sequence and SeriesMTP May 18Question 1839 of 128
All Questions Correct Answer
✅ Option c — $\pm \sqrt{2}$
All Options:
- A$\pm 1$
- B$\pm 3$
- C$\pm \sqrt{2}$
- DNone
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 SyllabusExam 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.
More Questions from Sequence and Series
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If the sum of five terms of AP is $75$. Find the third term of the series.
The $20^{th}$ term of arithmetic progression whose $6^{th}$ term is $38$ and $10^{th}$ term is $66$ is:
Divide $69$ into $3$ parts which are in A.P. and are such that the product of first two parts is $483$.
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