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Q. Find the sum of integers between 100 and 200:
(1) Divisible by 9
(2) Not divisible by 9
Please solve this question:-
Q. Find the sum of integers between 100 and 200:
(1) Divisible by 9
(2) Not divisible by 9
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First we find how many numbers between 100 and 200 divisible by 9
First term (a) = 108
Common Difference (d) = 9
Last term (l)=198
Formula:
198=108+(n-1)9
n=11
Now we find sum of these 11 terms
Formula:
Sum of 11 term = 1683
Now we find the sum of series 101,102,103,.........,199
Sum of 99 terms = 14850
Sum of integers between 100 and 200 not divisible by 9 = 14850 - 1683 = 13167
Hence, The sum of number not divisible by 9 between 100 and 200 is 13167