SOLUTION: How to find sum of all the odd number between 50 to 200? I know about first odd number. Thanks

SOLUTION: How to find sum of all the odd number between 50 to 200? I know about first odd number. Thanks

Algebra.Com

Question 1022243: How to find sum of all the odd number between 50 to 200? I know about first odd number.
Thanks
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Sum of all odd numbers between 50 - 200
:
Odd numbers are of the form 2n-1
:
Sum = (sum of odd numbers between 1 and 200) - (sum of odd numbers between 1 and 50)
:
49 = (2*25)-1, n=25
:
199 = (2*100)-1, n=100
:
Sum = 100^2 - 25^2 = 9375
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