Algebra Examples

$- 1 {(\frac{1}{3})}^{n - 1}$

Step 1

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

$a_{3} = - 1 {(\frac{1}{3})}^{(3) - 1}$

Step 2

Subtract $1$ from $3$ .

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

Step 3

Apply the product rule to $\frac{1}{3}$ .

$a_{3} = - 1 \frac{1^{2}}{3^{2}}$

Step 4

One to any power is one.

$a_{3} = - 1 \frac{1}{3^{2}}$

Step 5

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

$a_{3} = - 1 (\frac{1}{9})$

Step 6

Rewrite $- 1 (\frac{1}{9})$ as $- (\frac{1}{9})$ .

$a_{3} = - \frac{1}{9}$