Question

The $$n$$th term of the A.P. $$\frac{1}{m}, \frac{1 + m}{m}, \frac{1 + 2m}{m}, .........$$ is ______.

Options

• $$\frac{m(n - 1) + 1}{m}$$

• $$\frac{m(n + 1) - 1}{m}$$

• $$\frac{m(n - 1) - 1}{m}$$

• none of these

Answer 1

The $$n$$th term of the A.P. $$\frac{1}{m}, \frac{1 + m}{m}, \frac{1 + 2m}{m}, .........$$ is `underlinebb((m(n - 1) + 1)/m)`.

Explanation:

The common difference is $$1$$, so $$\mathrm{T}_{n} = \frac{1}{m} + (n - 1) = \frac{m(n - 1) + 1}{m}$$.