Question: Question 7 (10 marks) Consider the recurrence relation an=4ann +5an23,n23, with the initial conditions a: = 4 and a: = X7 e.g. ifX? = O,

Question 7 (10 marks) Consider the recurrence relation an=4ann +5an23,n23, with the initial conditions a: = 4 and a: = X7 e.g. ifX? = O, m = 0. (3) Find the characteristic equation and solve its roots. (2 marks) (b) Determine the general solution of the recurrence relation. (1 marks) (0) Applying the initial conditions, determine the explicit formula for an. (7 marks)

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