Solve these recurrence relations together with the initial conditions given.

a) an = an−1 + 6an−2 for n ≥ 2, a0 = 3, a1 = 6

b) an = 7an−1 − 10an−2 for n ≥ 2, a0 = 2, a1 = 1

c) an = 6an−1 − 8an−2 for n ≥ 2, a0 = 4, a1 = 10

d) an = 2an−1 − an−2 for n ≥ 2, a0 = 4, a1 = 1

e) an = an−2 for n ≥ 2, a0 = 5, a1 = −1

f ) an = −6an−1 − 9an−2 for n ≥ 2, a0 = 3, a1 = −3