Question: A pond currently has 2000 trout in it. A fish hatchery decides to add an additional 20 trout each month. In addition, it is known

A pond currently has 2000 trout in it. A fish hatchery decides to add an additional 20 trout each month. In addition, it is known that the trout population is growing 3% per month. The size of the population after n months is given by the recursively defined sequence

p₀ = 2000 p_n = 1.03p_n-1 + 20

How many trout are in the pond after two months? That is, what is p_2.

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