Solving linear homogeneous recurrence relations. Solve each of the following recurrence equations with the given initial values. b) bn = 3bn1 +...

8.11.3: Solving linear homogeneous recurrence relations.

Solve each of the following recurrence equations with the given initial values.

b) bn = 3bn−1 + 4bn−2.  Initial values: b0 = 4, b1 = 1.

c) bn = 4bn−2.  Initial values: b0 = 2, b1 = 16.

d) bn = 4bn−1 − 4bn−2.  Initial values: b0 = 3, b1 = 10.