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If the common difference of an AP is 5, then $a_{18} - a_{13}$ is[[1]].

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Detailed Solution

If the common difference of an AP is 5, then

a_{18} - a_{13}

is 25.
Given, in an A.P., the common difference is 5.
The 18th term is

a + 17 d

and for 13th term is

a + 12 d

a 18 − a 13 = a + 17 d − a − 12 d = 5 d

According to question,

d = 5

So,

a 18 − a 13 = 55 = 25

Therefore, the correct answer is 25.

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