5. Solve these recurrence relations together with the initial conditions given: a) aann = 5aann−1 − 6aann−2, nn ≥ 2 with aa0 = 0 aa1 = 1 b) aann = −4aann−1 − 4aann−2, nn ≥ 2 with aa0 = 0 aa1 = 1 c) aann = 4aann−2, nn ≥ 2 with aa0 = 0 aa1 = 4 d) aann = 2aann−1 + aann−2 − 2aann−3, nn ≥ 3 with aa0 = 3, aa1 = 6 aa2 = 0

Expresa commuter train leaves downtown sation and travels at a average speed of 55 miles per hour towards the north side sation, which is 50miles away. thirty minutes later, express commuter train #7 leaves north side and travels at a average speed of 35miles per hour towards downtown sation. at the moment the two trains pass each other, how far(in miles) is train #12 from the downtown sation and how long(in minutes) has the #12 train been traveling