Q6

A model 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 previous two years.
a) Find a recurrence relation for {Ln} where Ln is the number of lobsters caught in year n, under the assumption of this model.
b) Find Ln if 100,000 lobsters were caught in year 1 and 200,000 lobsters were caught in year 2.