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Amodel for the number of lobsters caught per year is based on the assumption that the number of lobsters caught in a year is the average of the number caught in the two previous years.

a) find a recurrence relation for {ln}, where ln is the number of lobsters caught in year n, under the assumption for this model.
b) find ln if 100,000 lobsters were caught in year 1 and 300,000 were caught in year 2.

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