The total amount spending by the tourists in a resort city is .

Amount spent in the first year is .

Amount spent in the second year is .

Amount spent in the third year is .

Amount spent in the  year is .

This is the geomentric series.

Theorem 9.6: Convergence of a geomentric series :

A geomentric series with ratio  diverges if , then series converges to the sum

.

The geomentric series is .

The geomentric series that represents total amount spending by generated by

 is .

The sum of the series is .

The geomentric series  is .

The sum of the series is .