Solving a non homogeneous recurrence relation

Question

If we have a recurrence relation like $a_n$ = $a_{n-1} + 5 $ with $a_0=30$, can this be solved using finding characteristic roots and then characteristic roots, I can solve other type of such equations but in cases where $ a_n= a_{n-1} + constant.1^n $ , with a solution for terms like $5.1^n$, the constant term always gets cancelled since same on both sides.