Question: Let the sequence S0,S1,S2, be defined by the following initial condition and recurrence relation: Sn:={1Sn1+2n1ifn=0ifn1 a.Complete the the following table for Sn begin{tabular}{l|llllll} n &

Let the sequence S0,S1,S2, be defined by the following initial condition

Let the sequence S0,S1,S2, be defined by the following initial condition and recurrence relation: Sn:={1Sn1+2n1ifn=0ifn1 a.Complete the the following table for Sn \begin{tabular}{l|llllll} n & 0 & 1 & 2 & 3 & 4 & 5 \\ \hlineSn & & & & & \end{tabular} b.Attempt to come up with a basic Sn formula. c.Prove the correctness of formula (you found in b) using induction

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