Precalculus Examples

$\sum_{k = 2}^{3} k^{2} - k$

Step 1

Expand the series for each value of $k$ .

$2^{2} - 1 \cdot 2 + 3^{2} - 1 \cdot 3$

Step 2

Simplify.

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Step 2.1

Raise $2$ to the power of $2$ .

$4 - 1 \cdot 2 + 3^{2} - 1 \cdot 3$

Step 2.2

Multiply $- 1$ by $2$ .

$4 - 2 + 3^{2} - 1 \cdot 3$

Step 2.3

Subtract $2$ from $4$ .

$2 + 3^{2} - 1 \cdot 3$

Step 2.4

Raise $3$ to the power of $2$ .

$2 + 9 - 1 \cdot 3$

Step 2.5

Multiply $- 1$ by $3$ .

$2 + 9 - 3$

Step 2.6

Subtract $3$ from $9$ .

$2 + 6$

Step 2.7

Add $2$ and $6$ .

$8$

$8$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$