Algebra Examples

$({(- 1)}^{n + 1} n^{2})$

Step 1

Substitute in the value of $n$ to find the $n$ th term.

$a_{2} = {(- 1)}^{(2) + 1} {(2)}^{2}$

Step 2

Remove parentheses.

$a_{2} = {(- 1)}^{(2) + 1} {(2)}^{2}$

Step 3

Add $2$ and $1$ .

$a_{2} = {(- 1)}^{3} {(2)}^{2}$

Step 4

Raise $- 1$ to the power of $3$ .

$a_{2} = - 1 {(2)}^{2}$

Step 5

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

$a_{2} = - 1 \cdot 4$

Step 6

Multiply $- 1$ by $4$ .

$a_{2} = - 4$