Math, asked by alisabri, 1 year ago

find sum of all odd numbers between 10 and 200

Answers

Answered by siddhartharao77
46
Odd numbers between 10 and 200 are 11,13,15....199.

Here 1st term a = 11

         Last term l = 199.

         Common difference d = 2.


We know that sum of n terms an = a + (n-1) * d

                                               199  = 11 + (n - 1) * 2

                                               199 - 11 = (n - 1) * 2

                                               188 = (n - 1) * 2

                                               94 = n - 1

                                               95 = n

Sum of n terms = n/2(a + l)

                          = 95/2(11 + 199)

                          = 95/2 * 210

                          = 95 * 105

                          = 9975.



Therefore the sum of odd numbers between 10 and 200 is 9975.



Hope this helps!
Answered by Anonymous
19
pl mark it as brainliest
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