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The sum of the even numbers between 77 and 535 is how much less than the sum of the odd numbers between78 and 536?

User Rmosolgo
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The sum of the even numbers between 77 and 535 is:


78+80+82+\ldots+530+532+534=70074

Now, the sum of the odd numbers between 78 and 536 is:


77+79+81+\cdots+531+533+535=70380

Thus, the sum of the even numbers between 77 and 535 is 306 less than the sum of the odd numbers between 78 and 536 because


70380-70074=306

User Marco Medrano
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