Question

The first term of an A.P. is $$a$$ and $$n$$th term is $$b$$, then the common difference of the A.P. is ______.

Options

• $$\frac{b - a}{n}$$

• $$\frac{b - a}{n - 1}$$

• $$\frac{b + a}{n - 1}$$

• $$\frac{b - a}{n + 1}$$

Answer 1

The first term of an A.P. is $$a$$ and $$n$$th term is $$b$$, then the common difference of the A.P. is `underlinebb((b - a)/(n - 1))`.

Explanation:

Since $$b = a + (n - 1)d$$, rearranging gives $$d = \frac{b - a}{n - 1}$$.