Write the Series in Summation Notation and Find the Sum $6+2+\frac{2}{3}+\frac{2}{9}+\ldots+\frac{2}{729}$

Essay

Write the series in summation notation and find the sum, assuming the suggested pattern continues.
$6+2+\frac{2}{3}+\frac{2}{9}+\ldots+\frac{2}{729}$