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Formula? Sum of integers btween f.e. 232-297 inlcusive


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Ist there a formula to solve for the sum of integers lets say

 

between 232-297 inclusive? how does it change if its exclusive? how does it change if its only even or odd integers?

 

thank you

Natural numbers are 1, 2, 3, 4, ...

Sum of first n natural numbers = n*(n+1)/2

Sum of 232 to 297 = Sum of first 297 natural numbers - sum of first 231 natural numbers

= (297*298/2) - (231*232/2)

= 297*149 - 231*116

Now you can calculate the final figure.

:)

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