The evolution of a population of small rodents has been studied. The size of the population to each time n is noted as Pn. The integer n designs the time expressed in months, and Pn is expressed in hundreds of individuals. It is supposed that the model used to describe the evolution of the population is:
Pn+2 = 5 Pn+1 - 4 Pn
1)Give an interpretation of this model.
2) Suppose that at n=0 the population includes 100 rodents, and at n=1 the population is represented by 500 rodents. How many years are needed so the population could be higher than 150000 rodents?
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