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

Explanation

Integers between 200 and 500 which are divisible by 8 are as follows :
`:. 208, 216, 224, 232, ...., 496`
This forms an A.P. whose first term=208, common difference = 8
and last term =496. Let these are n terms.
`:. a_(n)=496`
`rArr a+(n-1)d=496`
`rArr 208+(n-1)8=496`
`rArr (n-1)8=496-208=288`
`:. n-1=(288)/(8) rArr n-1=36`
`:. n=37`.
Hence, 37 integers are between 200 to 500 which are divisible by 8.