When using the generating function g(x)g(x)g(x) to solve the recurrence relation ∀n≥2\forall n \ge 2∀n≥2, an=−an−1+6an−2a_n = -a_{n-1} + 6a_{n-2}an=−an−1+6an−2, a0=0a_0 = 0a0=0, a1=5a_1 = 5a1=5, what of the followings are true?