Question

The number of integers lie in between $1$ and $1000$ which are divisible by $3$ are

Answer 1

Given,
$3,6,9,\cdots ,996,999$
We know,
$n=\frac{l-a}{d}+1\cdots \left(i\right)$
where $l=999,a=3$ and $d=3$
Put all these values in eq.$\left(i\right)$
$\Rightarrow n=\frac{999-3}{3}+1$
$\Rightarrow n=\frac{996}{3}+1$
$\Rightarrow n=332+1=333$