Question

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

Answer 1

The first term between 200 and 500 divisible by 8 is 208, and the last term is 496.
So, first term$\left(a\right)=208$
Common difference $\left(d\right)=8$

n th term of A.P given as-
$a_n=a+(n-1)d$
$\Rightarrow 208+(n-1)8=496$
$\Rightarrow (n-1)8=288$
$\Rightarrow n-1=36$

$\Rightarrow n=37$
Hence, there are 37 integers between 200 and 500 which are divisible by 8.