Question

how many integers beween 200 and 500 are divisible by 8?

Answer 1

The first integer above 200 which is divisible by 8 is 208 and the term just below 500 which is divisible by 8 is 496.

So the integers between 200 & 500 which are divisible by 8 are:208,216,224…496.

This is an AP,the first term is 208 and the last term is 496.

Nth term=first term+(n-1)d where n is the number of terms and d is the common difference which is 8. So,

496=208+(n-1)8

288=(n-1)8

n-1=36 therefore n=37

The number of integers are 37.

Answer 2

Answer:

No. of integer between 200 and 500 that is divisible by 8 is 38

Step-by-step explanation:

200, 208, 216........... 496

a = 200

d = 8

L = 500

=> a +(n-1)d = 496

=> 200 + (n-1)8 = 496

=> (n-1)8 = 296

=> n-1 = 37

=> n = 38

No. of integer between 200 and 500 that is divisible by 8 is 38