Find the sum of all integers between 100 and 550, which are divisible by 9

given an AP is required of all integers between 100 and 550, which are multiples of 9

To find: the sum of all integers between 100 and 550, which are divisible by 9

So, the sequence is 108, 117, 126….549

It is an AP whose first term is 108 and d is 9

Hence the sum is given by the formula

Now for the finding number of terms, the formula is

n = 50

substituting n in the sum formula we get

s = 16425