According to the Federal Reserve Bank of Boston, $180 million of counterfeit money was put into the economy in 1999. (Source: www.bos.frb.org (Links to an external site.)) Suppose each time this counterfeit money is used, except the first time its passed, 24% of it is seized.

1. For each year between 1999 2004, determine the amounts of counterfeit money in circulation.
2. Assuming this process continues forever, write the expression, that represents the sum of the purchases bought with the counterfeit money. Be sure to use sigma notation for this expression.
3. Still assuming this process continues forever, what is the total amount of the purchases made with the counterfeit money?