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10. (20%, CCIS-571 only) Solve the following three recurrence relations and determine the order of growth for the solution of each of them. a) x(n)

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10. (20%, CCIS-571 only) Solve the following three recurrence relations and determine the order of growth for the solution of each of them. a) x(n) = x(n-1) + 5 for n>0, x(0) = 0 b) x(n)= 3 x(n-1) for n > 0, x(0) = 5 c) X(n) = x(n/2) + n for n > 1, x(1)= 1, assuming n is a power of 2, i.e., n=2, 4, 8, ..., 2k

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