find the sum of even number between 1 to 100
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Answer :Looking at the even series 2 + 4 + 6 + 8 + ... + 100, we can break this down into 2 x (1 + 2 + 3 + 4 + ... + 50). In other words, we can factor out a 2 from each term. Using the sum of n consecutive integers formula, we can calculate the sum of 1 through 50: 50 x 51/2 = 25 x 51 = 1275. And we multiply that by 2 (the number we originally factored out). 1275 x 2 = 2550.
*** This approach will work for all even numbered series.
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