Find the number of multiples of 7 between 30 and 300

number-of-multiples
30-and-300

#1

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.