Answer
10
Work Step by Step
Solving using the sum rule, we find:
$$ \sum _{i=1}^4i(i-2) \\ =\sum _{i=1}^4i^2-2i \\ =\sum _{i=1}^4i^2-\sum _{i=1}^42i \\ =30-20 \\ =10$$
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