Recurrence relation

GBR

1. The problem statement, all variables and given/known data

x_n+2 − 6x_n+1 + 8x_n = 2ⁿ

Find the particular solution.

3. The attempt at a solution

I've tried "guessing" both x_n^p = (An + B)*2ⁿ and = (An² + Bn + C)*2ⁿ as a solution, but the calculations just don't add up and make sense.

Thanks in advance for any tips and/or hints.