Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

In a Geometric Progression, if the product of the first three terms is $\frac{27}{8}$, then its second term is:

Options:

$\frac{3}{2}$

$\frac{9}{4}$

$\frac{9}{2}$

1

Correct Answer:

$\frac{3}{2}$

Explanation:

In a G.P, the product of the first three terms 27/8.

The middle term of G.P

Let the first three terms of a GP be a/r, a, ar.

The product of the first three terms of GP  is 27/8.

⇒  a/r × a × ar = 27/8

⇒  a³ = 27/8

⇒ a³ = (3/2)³

⇒  a = 3/2