Find the value of $a_{30} - a_{20}$ for $A . P . 2, 7, 12, 17.....$

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Solution

A.P. $\Rightarrow 2, 7, 12, 17, . . . \dots$
$a_{n} = a_{0} + (n - 1) d$
$a_{0} = 2$
$d = 5$
$a_{30} - a_{20} = [a_{0} + (30 - 1) 5] - [a_{0} + (20 - 1) 5]$
$= 29 \times 5 - 19 \times 5$
$a_{30} - a_{20} = 50$ .

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