Question

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

Answer 1

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

a_n = 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.