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

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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 PnP _ { n } after n months is given recursively by P0=5000P _ { 0 } = 5000 and Pn=1.08Pn1200P _ { n } = 1.08 P _ { n - 1 } - 200 . How many fish are in the pond after 6 months?


Definitions:

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The state of being resistant to change and maintaining the same condition over time.

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Data collected over a long period of time to observe changes or developments in the subject of study.

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