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What is the sum of all the odd integers between 500 and 800?

 Jul 20, 2022
 #3
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501  503  505   ......  795   797  799

 

We have   [799   - 501 ]  / 2   + 1  =     (298 )/2 + 1 =  149 + 1  = 150  terms

 

The sum is given by

 

[ first term + last term ]  [number of terms ]   / 2

 

[ 501 + 505 ] [ 150 ]   / 2   = 

 

[1300 ] [75 ]  = 

 

97500

 

 

cool cool cool

 Jul 20, 2022

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