Question

The $$n$$th term of the G.P. $$x^3, x^5, x^7, .........$$ is ______.

Options

• $$x^{(2n - 1)}$$

• $$x^{(2n + 3)}$$

• $$x^{(2n + 1)}$$

• $$x^{3n + 2}$$

Answer 1

The $$n$$th term of the G.P. $$x^3, x^5, x^7, .........$$ is `underlinebb(x^((2n + 1))`.

Explanation:

The first term is $$x^3$$ and the common ratio is $$x^2$$.

Hence, $$T_n = x^3(x^2)^{n - 1} = x^{2n + 1}$$.