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Question

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

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Solution

The integers between 100 and 550 that are divisible by 9 are:
108, 117...549
Here, we have:
a= 108 d = 9an = 549108+(n-1)(9)=5499n-9=4419n=450n=50Sn = n22a+(n-1)dS50 = 5022×108+(50-1)×9S50 = 25657 = 16425

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