Discrete math 1) Consider the sequence defined as follows:8o = 2,$1 = 5, andfor all n > 1, Sn+15sn – 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!

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Advanced Engineering Mathematics

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ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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1) Consider the sequence defined as follows: so = 2, %3D 81 = 5, and for all n > 1, Sn+1 = 5sn – 6sn–1 (a) Find the first 5 terms of this sequence (i.e., find s0 through s4).