Algebra Examples

$a_{n} = {(- 1)}^{n} (13 n - 6)$

Step 1

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

$a_{3} = {(- 1)}^{3} (13 (3) - 6)$

Step 2

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

$a_{3} = - 1 (13 (3) - 6)$

Step 3

Multiply $13$ by $3$ .

$a_{3} = - 1 (39 - 6)$

Step 4

Subtract $6$ from $39$ .

$a_{3} = - 1 \cdot 33$

Step 5

Multiply $- 1$ by $33$ .

$a_{3} = - 33$