Question

How many multiples of 6 lie between 0 and 250?

Answer 1

The multiples of $6$ are in A.P.

Let the no. of multiples be $n$

Applying formula for $n_{th}$ term of A.P.

$A_n=a+(n-1)d$

$250=6+(n-1)\times 6$ [$A_n=250,a=6,d=6$]

$n=250÷6$

$n=41.66$

$\therefore$ $n=41$ [$n$ is an integer]