Fish A landlocked lake has been selected to be stocked in

Chapter 8, Problem 8.1.115

(choose chapter or problem)

Fish A landlocked lake has been selected to be stocked in the year 2008 with 5500 trout, and to be restocked each year thereafter with 500 trout. Each year the fish population declines 25% due to harvesting and other natural causes. (a) Write a recursive sequence that gives the population of trout in the lake in terms of the year n since stocking began. (b) Use the recursion formula from part (a) to find the numbers of trout in the lake in the years 2009, 2010, and 2011. (c) Use a graphing utility to find the number of trout in the lake as time passes infinitely. Explain your result.

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