Question

how many natural no. are between 200 and 500 which are divisible by 7

Answer 1

There are 43 numbers between 200 and 500 which are divisible by 7

Answer 2

First no. divisible by 7 b/w 200 and 500 = 203

Last no. divisible by 7 b/w 200 and 500 = 497

Difference between two consecutive terms (d) = 7

an = a + (n - 1)d

⇒ 497 = 203 + (n-1)7

⇒ 497 - 203 = 7n - 7

⇒ 294 + 7 = 7n

⇒ 301/7 =n

43 = n

43 numbers are divisible by 7 b/w 200-500.