If α and β are the roots of the equation x² - ax + b = 0 and Aₙ = αⁿ + βⁿ, then which of the following is true?
A. Aₙ₊₁ = aAₙ +bAₙ₋₁
B. Aₙ₊₁ = bAₙ + aAₙ₋₁
C. Aₙ₊₁ = bAₙ - aAₙ₋₁
D. Aₙ₊₁ = aAₙ - bAₙ₋₁