Recurrence Relationshard
0:00.0

For the non-homogeneous recurrence an=5an16an2+33na_n = 5a_{n-1} - 6a_{n-2} + 3 \cdot 3^n the homogeneous part has characteristic roots 2 and 3. Since 3 is a simple root of the characteristic equation, what form should the particular solution an(p)a_n^{(p)} take?