Question: Give the recurrence relation where indicated or solve the given recurrence relation by algebraically unrolling it. (a) Give a recurrence relation, T(n), and its initial

Give the recurrence relation where indicated or solve the given recurrence relation by algebraically unrolling it.

(a) Give a recurrence relation, T(n), and its initial condition for the sequence 3, 5, 9, 17, 33, 65 .

(b) Solve the relation in (a).

(c) Solve T(n) = cn + T(n 1) with the initial condition T(1) = 1.

(d) Solve T(n) = T (n/) + n with the initial condition T(1) = 1.

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