Solve the non-homogeneous recurrence an=2an−1+5a_n = 2a_{n-1} + 5an=2an−1+5 with a0=3a_0 = 3a0=3. Find the closed form for ana_nan.
an=8⋅2n−5a_n = 8 \cdot 2^n - 5an=8⋅2n−5
an=4⋅2n−5a_n = 4 \cdot 2^n - 5an=4⋅2n−5
an=8⋅2n+5a_n = 8 \cdot 2^n + 5an=8⋅2n+5
an=2n−5a_n = 2^n - 5an=2n−5