1) Consider the sequence defined as follows: 8o = 2, $1 = 5, and for all n > 1, Sn+1 5sn – 6sn-1 %3D (a) Find the first 5 terms of this sequence (i.e., find s0 through s4). (b) Prove* that for all n e...

Discrete math

Extracted text: 1) Consider the sequence defined as follows: 8o = 2, $1 = 5, and for all n > 1, Sn+1 5sn – 6sn-1 %3D (a) Find the first 5 terms of this sequence (i.e., find s0 through s4). (b) Prove* that for all n e N, Sn = 2" + 37. Show some of your algebra in your proof!