Question: Scientists have developed a recursion formula to determine the number of insects in a given population for eachinterval, n , of time, a n =

Scientists have developed a recursion formula to determine the number of insects in a given population for eachinterval, n, of time, a_n= ka_n-1(1-a_n-1) where k is a constant called the Malthusian factor.

1.Assuming n is measured in weeks, calculate the insect population for weeks 2, 3, and 4 if the initial population is 112, and the Malthusian factor for this population is -9.5.

2.Assuming n is measured in years, and the Malthusian factor for a species of insects is -1, what is the population in year 9 if the population in year 10 is 200?

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