Precalculus Examples

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

Step 1

Simplify.

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Step 1.1

Multiply $c$ by $n$ .

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

Step 1.2

Remove parentheses.

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

Step 1.3

Reduce by cancelling the common factors.

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

Step 2

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

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