Question
In the following exercises, use summation properties and formulas to rewrite and evaluate the sums.$$\sum_{k=1}^{20} 100\left(k^{2}-5 k+1\right)$$
Step 1
Step 1: First, we can distribute the 100 inside the sum: $$ 100\sum_{k=1}^{20} \left(k^{2}-5 k+1\right) = \sum_{k=1}^{20} 100k^{2} - \sum_{k=1}^{20} 500k + \sum_{k=1}^{20} 100 $$ Show more…
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