Question: Problem 1 0 : Recurrences [ a ] Use the Master Theorem to determine the order of magnitude of T ( n ) = 8

Problem 10: Recurrences
[a] Use the Master Theorem to determine the order of magnitude of T(n)=8T(n/2)+ n for n >1, where T(1)=1.
[b] State the characteristic equation of the recurrence S(n)=9S(n-1)-8S(n-2) for n >1, where S(0)=6 and S(1)=7.
[c] Using the methods of our course, derive a closed-form formula for either S(n) or T(n)

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