What is the sum of the first 1002 odd numbers?

Sum of the first 1002 odd numbers

"The sum of the first 1002 odd numbers" means that we want to add together the first 1002 positive odd numbers. The list of the first 1002 odd numbers starts with 1 and ends with 2003. Thus, this is what we know:

Numbers = 1002
First = 1
Last = 2003

Below is the formula, calculation, and answer to "the sum of the first 1002 odd numbers?":

(Numbers/2) x (First + Last)
(1002/2) x (1 + 2003)
= 1004004

The method above requires us to first figure out what the last number is on the list of the first 1002 odd numbers. We like the formula method above, but there is an alternate faster way to add up odd numbers. You can get the answer fast by squaring the number. Once again, the sum of the first 1002 odd numbers is:

1002² = 1004004

Sum of Odd Numbers Calculator
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