**Find the number of multiples of 7 between 30 and 300.**

**Answer:**

First multiple of 7 in the above given interval is 35

Last multiple is 294

This can be thought of as an AP with first term equal to 35, common difference 7 and last term 294

Suppose 294 is the nth term and we need to determine n

We know, An = a + (n-1)d

=> 294 = 35 + (n-1)*7

=> 259 = (n-1)*7

=> 37 = n-1

=> n = 38

Hence, number of multiples of 7 from 30 to 300 are 38.