(a) Find the particular solution to the following discrete model:
t_(n 2)=-2t_(n 1) 8t_(n);,t_(0)=1,t_(1)=8
[6 marks]
(b) Consider the population of a town with an initial population of 5,000. After one generation, the population grows to 5,400 . After two generations, it further grows to 5,600 . Describe the population dynamics using a linear immigration model of the form P_(n 1)=rP_(n) k where r and k are to be determined constants.
[6 marks]