Algebra Examples

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

Step 1

Rewrite.

$a_{n} = 0 + 0 + 9 {(\frac{1}{3})}^{n - 1}$

Step 2

Simplify the expression.

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Step 2.1

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

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

Step 2.2

One to any power is one.

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

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

Step 3

Combine $9$ and $\frac{1}{3^{n - 1}}$ .

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

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