Fish harvesting A fishery manager knows that her fish population naturally increases at a rate of $1.5 \%$ per month. At the end of each month, 120 fish are harvested. Let $F_{n}$ be the fish population after the $n$ th month, where $F_{0}=4000$ fish. Assume that this process continues indefinitely. Use infinite series to find the long-term (steady-state) population of the fish exactly.