Question

The common ratio of the G.P. $$\frac{1}{a^3x^3}, ax, a^5x^5, .......$$ is ______.

Options

• $$\frac{1}{a^2x^2}$$

• $$\frac{1}{a^4x^4}$$

• $$a^2x^2$$

• $$a^4x^4$$

Answer 1

The common ratio of the G.P. $$\frac{1}{a^3x^3}, ax, a^5x^5, .......$$ is a⁴x⁴.

Explanation:

The ratio of the second term to the first is $$\frac{ax}{1/(a^3x^3)} = a^4x^4$$. The ratio of the third term to the second is the same.