A fish farmer has 5000 catfish in his pond. The number of catfish increases by 8% per

Question:

A fish farmer has 5000 catfish in his pond. The number of catfish increases by 8% per month and the farmer harvests 300 catfish per month.
(a) Show that the catfish population Pn after months is given recursively by
Pn = 1.08Pn-1 - 300 Po = 5000
(b) How many catfish are in the pond after six months?