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Mental math - The sum of the first $50$ positive odd integers is $50^2$. Find the sum of the first $50$ positive even integers.

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    Hint: each of these even integers is one bigger than one of the odd integers.2012-12-16
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    There are $50$ kids lined up, you give them $1$ candy, $3$, $5$, and so on. Total candies $50^2$. Now you give each kid one more.2012-12-16

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