Precalculus Examples

$\sum_{k = 1}^{5} 162 + {(\frac{1}{3})}^{k}$

Step 1

Expand the series for each value of $k$ .

$162 + {(\frac{1}{3})}^{1} + 162 + {(\frac{1}{3})}^{2} + 162 + {(\frac{1}{3})}^{3} + \dots + 162 + {(\frac{1}{3})}^{5}$

Step 2

Simplify the expanded form.

$\frac{196951}{243}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{196951}{243}$

Decimal Form:

$810.49794238 \dots$

Mixed Number Form:

$810 \frac{121}{243}$