Find the sum of integers between 200 and 300
that are
(i) Not divisible by 13
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Find the sum of integers between 200 and 300
that are
(i) Not divisible by 13
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Step-by-step explanation:
In order to get answer we need to subtract sum of those integers divisible by 13 from the sum of all integers from 200 to 300.
Series of numbers from 200 to 300 that are divisible by 13 is following-
208,221…,299
S=(n/2)(a+l)=(8/2)×(208+299)
S=2028
Now ,sum of all integers between 200 to 300
S=99/2×(201+299)
S=99/2×500=99×250=24750
Now,
Sum of integers that are not divisible by 13 between 200 and 300 is-
24750–2028=22722
So ,we get our answer as 22722
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