Question
Determine whether the statement is true or false. Justify your answer.$$\sum_{l=1}^{4}\left(i^{2}+2 i\right)=\sum_{i=1}^{4} i^{2}+2 \sum_{i=1}^{4} i$$
Step 1
First, let's simplify the left side of the equation: $$\sum_{l=1}^{4}\left(i^{2}+2 i\right)$$ Since the summation is with respect to $l$, we can replace $i$ with $l$: $$\sum_{l=1}^{4}\left(l^{2}+2 l\right)$$ Expanding the terms inside the summation: $$(1^2 + 2 Show more…
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