Find the solution to the following linear, homogeneous recurrence with constant coefficients: an = 8an-1-19an 2+12an...

 

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Find the solution to the following linear, homogeneous recurrence with constant coefficients: an = 8an-1-19an 2+12an 3 for n ≥ 2 with initial conditions a = -7, a₁ = -11, a₂ = -23. The solution is of the form: an = a₁(ri)" + a₂(7₂)" + α3(13)" for suitable constants a1, 02, 03, 71, 72, r3 with r1 r2 <r3. Find these constants. T1 = T2 = T3 = α₁ = α2 = α3 = mu I Find the solution to the following linear, homogeneous recurrence with constant coefficients: an = 8an-1-19an 2+12an 3 for n ≥ 2 with initial conditions a = -7, a₁ = -11, a₂ = -23. The solution is of the form: an = a₁(ri)" + a₂(7₂)" + α3(13)" for suitable constants a1, 02, 03, 71, 72, r3 with r1 r2 <r3. Find these constants. T1 = T2 = T3 = α₁ = α2 = α3 = mu I