How many multiples of 7 are there between 100 and 200?

Between 100 and 200, the smallest and largest number is the multiple of 7 is 105 and 196 respectively.

So it can form a series.

First term = 105

Last term = 196

difference between consecutive terms = 7 [Because the numbers will be multiple of 7.]

Let's assume there are 'n' numbers multiples of 7 between 100 and 200.

Last term = First term+(n-1)difference between consecutive terms

196 = 105+7(n-1)

7(n-1) = 196-105 = 91

(n-1) = 13

n = 13+1 = 14

So there are 14 numbers multiples of 7 between 100 and 200.