Sum the Numbers

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Find the SUM of all the even numbers from 2 to 400.

(hint: find a pattern)

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Answer:  40,200

 

Strategy: Find the Pattern

There are 400 numbers from 1 to 400, therefore there are 200 even numbers.

You can find 100 "high-low" pairs of numbers that sum to 402, e.g. "2 & 400", "4 & 398", "6 & 396", etc... until you exhaust all possible pairs with "200 & 202."

Therefore, the answer is 100 x 402 = 40,200

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