A landlocked lake has been selected to be stocked in the year 2015 with 5500 trout, and
Chapter 9, Problem 123(choose chapter or problem)
A landlocked lake has been selected to be stocked in the year 2015 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 \(p_{n}\) of trout in the lake in terms of the year n, with n = 0 corresponding to 2015.
(b) Use the recursion formula from part (a) to find the numbers of trout in the lake for n = 1, 2, 3, and 4. Interpret these values in the context of the situation.
(c) Use a graphing utility to find the number of trout in the lake as time passes infinitely. Explain your result.
Text Transcription:
p_n
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