For each of the following word problems, decide whether it is an arithmetic or geometric
series and solve the problem using the correct formulas.

A company responsible for laying the foundation of a new high-rise office building must pay $5000 a day for the first five days that the completion of the foundation is late. On the sixth day and each day thereafter, the penalty is increased by $200 a day. If the company was penalized $65,600 how many days late were they in laying the foundation?