1. The field mouse population in a certain area is known to naturally increase at a rate of 50% per month. Each month, owls in the area kill and eat 450 field mice. Let P, be the field mouse population after the nth month. a) Suppose that the initial field mouse population is Po = 800 mice. Write the first 5 terms of the sequence {Pn}. b) Is the sequence {Pn} increasing or decreasing? Do you think the field mouse population will survive or go extinct? c) Find a recurrence relation that generates the sequence {Pn}.

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A: To determine the value of the limit.

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A: ANSWER

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A: I have given the answer in the next step. Hope you understand that

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.