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Examveda

If the first term of an A.P. is a and nth term is b, then its common difference is

A. $$\frac{{b - a}}{{n + 1}}$$

B. $$\frac{{b - a}}{{n - 1}}$$

C. $$\frac{{b - a}}{n}$$

D. $$\frac{{b + a}}{{n - 1}}$$

Answer: Option B

Solution(By Examveda Team)

In the given A.P.
First term = a and nth term = b
$$\eqalign{ & \therefore a + \left( {n - 1} \right)d = b \cr & \Rightarrow \left( {n - 1} \right)d = b - a \cr & \Rightarrow d = \frac{{b - a}}{{n - 1}} \cr} $$

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