Find the particular solution for the non-homogeneous recurrence an=2an−1+5na_n = 2a_{n-1} + 5nan=2an−1+5n.
an=−5n−5a_n = -5n - 5an=−5n−5
an=−5n+5a_n = -5n + 5an=−5n+5
an=5n−5a_n = 5n - 5an=5n−5
an=5n+5a_n = 5n + 5an=5n+5