Sum the Numbers

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Find the SUM of all the even numbers from 2 to 100.

(hint: find a pattern)

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Answer:  5,100

 

Strategy: Find the Pattern

There are 100 numbers from 1 to 100, therefore there are 50 even numbers.

You can find 25 "high-low" PAIRS of numbers that sum to 102, e.g. "2 & 100", "4 & 98", "6 & 96", etc... until you exhaust all possible pairs with "48 & 50."

Therefore, the answer is 25 x 102 = 2,550

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