# If the common difference of an AP is 5, then what is a18 - a13?

Given: d = 5

To find: a18 - a13

Formula Used: nth term of an AP is:

an = a + (n - 1) d

Explanation:

Given, the common difference of AP i.e., d = 5

Now,

As we know, nth term of an AP is

an = a + (n - 1) d

where a = first term

an is nth term

d is the common difference

a18 -a13 = a + 17d – (a + 12d)

= 5d

= 5(5)

= 25

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