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The formula to sum a series of numbers is:

sum = 1/2 x number_of_numbers x (first_number + last_number)

So to sum the integers 5 to 500:

From 5 to 500 there are 500 - 5 + 1 = 496 integers, so

sum = 1/2 x 496 x (5 + 500)

= 125240

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