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Find the sum of the first 50 terms in the sequence -5, -9, -13
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Each term is represented by: -1 - 4k where k goes from 1 to 50 inclusive. \[\sum_{1}^{50} (-1 - 4k) = -50 - 4\sum_{1}^{50}k\] -50 - (4)(50)(51)/2 = -50 - (100)(51) = -50 - 5100 = -5150
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