Calculus Examples

$\sum_{k = 4}^{8} k^{2} - 5 k$

Step 1

Expand the series for each value of $k$ .

$4^{2} - 5 \cdot 4 + 5^{2} - 5 \cdot 5 + 6^{2} - 5 \cdot 6 + \dots + 8^{2} - 5 \cdot 8$

Step 2

Simplify the expanded form.

$40$