Question 9
If the common difference of an AP is 5, then what is $a_{18} - a_{13}$ .

A) 5
B) 20
C) 25
D) 30

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Solution

Given, the common difference of the AP, i.e., d = 5
$a_{18} - a_{13}$
$= a + (18 - 1) d - [a + (13 - 1) d] [∵ a_{n} = a + (n - 1) d]$
$= a + 17 \times 5 - a - 12 \times 5$
$= 85 - 60 = 25$

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