Answer
-4
Work Step by Step
Given k = 1 to 4
then the sum = (1 - 3)(1 + 2) + (2 - 3)(2 + 2) + (3 - 3)(3 + 2) + (4 - 3)(4 + 2)
= (-2)$\times$3 + (-1)$\times$4 + 0$\times$5 + 1$\times$6
= - 6 - 4 + 0 + 6
= -4
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