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Find How Many Integers Between 200 and 500 Are Divisible by 8. - Mathematics

Find how many integers between 200 and 500 are divisible by 8.

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Solution

First term between 200 and 500 divisible by 8 is 208, and the last term is 496.

So, first term (a) = 208

Common difference (d) = 8

an = a + (n − 1)d = 496

⇒208 + (n − 1)8 = 496

⇒(n−1)8 = 288

⇒ n − 1 = 36

⇒n=37

Hence, there are 37 integers between 200 and 500 which are divisible by 8.

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