Question: Linear Recurrence: Problem 5 (1 point) Find the solution to the following linear, homogeneous recurrence with constant coefficients: an = 12an_1 32an_2 for n 2

Linear Recurrence: Problem 5 (1 point) Find the solution to the following linear, homogeneous recurrence with constant coefficients: an = 12an_1 32an_2 for n 2 2 with initial conditions (to = 1, a1 = 4. The solution is of the form: an, = a1(r1)"' + 012(1'2)\" for suitable constants a1, (12, r1, m with 11 5 '2. Find these constants. r1 = r2 = (11: 012: Linear Recurrence: Problem 6 (1 point) Find the solution to the following linear, homogeneous recurrence with constant coefficients: an = 9on4 23an_2 + 15an_3 for n. 2 2 with initial conditions a0 = 0, a1 = 6, a2 = 40. The solution is of the form: an = a1(r1)\" + a2(r2)\" + a3(r3)"' for suitable constants a1, a2, a3, r1, r2, :3 with r1

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