Q. 115.0( 2 Votes )

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

Answer :

**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

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