Question

The third term of a G.P. = 18, the product of its first five terms is ______.

Options

• 18

• 18⁵

• 9

• `sqrt18`

Answer 1

The third term of a G.P. = 18, the product of its first five terms is 18⁵.

Explanation:

Let first five terms of G.P. be

`a/r^2, a/r, a, ar, ar^2`

Given,

Third term of a G.P. = 18.

∴ a = 18

Product of first five terms = `a/r^2 × a/r × a × ar × ar^2`

= a⁵

= 18⁵