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smc

number theory intermediate

Problem

The sum of the first eighty positive odd integers subtracted from the sum of the first eighty positive even integers is
(A)
(B)
(C)
(D)
(E)
Solution
When the th odd positive integer is subtracted from the th even positive integer, the result is . Therefore the sum of the first eighty positive odd integers subtracted from the sum of the first eighty positive even integers is .
Final answer
E