Solve Recurrence Relation: A0,A1,A2 Given

[swtlilsoni]

Homework Statement

A_n=3A_n-2-2A_n-3

When
A₀=3
A₁=1
A₂=8

I tried to solve it normally like a normal recurrence relation however since it is not A sub n-1, it turns into a polynomial where the variable is raised to the third power which I couldn't factor and the whole thing turned into a mess.

 

[tiny-tim]

welcome to pf!

hi swtlilsoni! welcome to pf!

you mean x³ - 3x + 2?

can't you see one obvious root, just from looking at it?