Precalculus Examples

$a n = \frac{1 + {(- 1)}^{n}}{2 n}$

Step 1

Simplify.

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Step 1.1

Multiply each term in $a n = \frac{1 + {(- 1)}^{n}}{2 n}$ by $1$ .

$a n \cdot 1 = \frac{1 + {(- 1)}^{n}}{2 n} \cdot 1$

Step 1.2

Multiply $a$ by $1$ .

$a n$

Step 1.3

Reduce by cancelling the common factors.

$a n = {(- 1)}^{n}$

Step 2

Convert the exponential equation to a logarithmic equation using the logarithm base $(- 1)$ of the left side $(a n)$ equals the exponent $(n)$ .

$\log_{- 1} (a n) = n$