Question: Consider the following recurrence relation: A =-A _+12A_; A =5; A, =8. 1 ) Calculate A,. ii) Solve the recurrence relation using the Characteristic Equation

Consider the following recurrence relation: A =-A _+12A_; A =5; A, =8. 1 ) Calculate A,. ii) Solve the recurrence relation using the Characteristic Equation method and calculate A, again using your particular solution. iii) By using the Generating Function Method show that the Generating Function for the recurrence relation is given by 5+13x A(x) 1+x-12x2

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