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
g) an+2 = −4an+1 + 5an for n ≥ 0, a0 = 2, a1 = 8
(n’s and n-stuff are subscripts)
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