Consider the following AP sequence:
1, a, b, c, 9.
Find the common difference.

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Solution

The correct option is D 2
There are five terms in this AP

$a_{n} = a_{1} + (n - 1) d$

$\Rightarrow$ $a_{n} - a_{1} = (n - 1) d$

$\Rightarrow$ $\frac{a_{n} - a_{1}}{n - 1} = d$

Here, $a_{1} = 1; n = 5; a_{n} = 9$ .

Therefore the common difference, $d = \frac{9 - 1}{5 - 1} = 2$

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