Question

Find the sum intergers between 100 and 200 that are not divisible by 9 ..I will mark u as brainliest

Answer 1

this is your answer..........

Answer 2

Answer:

Sum = 13167

Step-by-step explanation:

The sum integers between 100 and 200 that are not divisible by 9.

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: $a_n=a+(n-1)d$

198=108+(n-1)9

n=11

Now we find sum of these 11 terms

Formula: $S_n=\frac{n}{2}(2a+(n-1)d)$

$S_{11}=\frac{11}{2}(108(2)+10(9))$

Sum of 11 term = 1683

Now we find the sum of series 101,102,103,.........,199

$S_{99}=\frac{99}{2}(101(2)+98(1))$

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