A Fish Farmer Has 5000 Catfish in His Pond $P _ { n }$

Short Answer

A fish farmer has 5000 catfish in his pond. The number of catfish increases by 8% per month, and the farmer harvests 200 catfish per month. The catfish population $P _ { n }$ after n months is given recursively by $P _ { 0 } = 5000$ and $P _ { n } = 1.08 P _ { n - 1 } - 200$ . How many fish are in the pond after 6 months?