Question

The third term of a G.P. is 3. The product of its first five terms is ______.

Options

• 15

• \[\frac{3 \times 5}{2}\]

• 3⁵

• 5³

Answer 1

The third term of a G.P. is 3. The product of its first five terms is 3⁵.

Explanation:

Let first five terms of G.P. be

\[\frac{a}{r^2}, \frac{a}{r}, a, ar, ar^2\]

Given,

3rd term of G.P. is 3.

∴ \[a = 3\]

Product of first five terms are

⇒ \[\frac{a}{r^2} \times \frac{a}{r} \times a \times ar \times ar^2\]

⇒ \[a^5\]

⇒ \[3^5\]