Recurrence Relationshard
0:00.0

For the non-homogeneous recurrence an=3an12an2+54na_n = 3a_{n-1} - 2a_{n-2} + 5 \cdot 4^n, the characteristic roots are r1=2r_1 = 2 and r2=1r_2 = 1. Since 44 is not a characteristic root, which form should we try for the particular solution an(p)a_n^{(p)}?