Calculus Examples

$\sum_{j = 8}^{12} {(- 1)}^{j}$

Step 1

Expand the series for each value of $j$ .

${(- 1)}^{8} + {(- 1)}^{9} + {(- 1)}^{10} + \dots + {(- 1)}^{12}$

Step 2

Simplify the expanded form.

$1$

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