Calculus Examples

$\sum_{k = 0}^{5} 2 k + 2 k^{2}$

Step 1

Expand the series for each value of $k$ .

$2 \cdot 0 + 2 \cdot 0^{2} + 2 \cdot 1 + 2 \cdot 1^{2} + 2 \cdot 2 + 2 \cdot 2^{2} + \dots + 2 \cdot 5 + 2 \cdot 5^{2}$

Step 2

Simplify the expanded form.

$140$