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 geometric series.

Theorem 9.6: Convergence of a geometric series :

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

.

The geometric series is .

The geometric series that represents total amount spending by generated by is .

The sum of the series is .

The geometric series  is .

The sum of the series is .