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Given that T(n) = 1 if n=1 and T(n) = 7T(n/2) for n>1 and n a power of 2. State the first four values of

Given that T(n) = 1 if n=1 and T(n) = 7T(n/2) for n>1 and n a power of 2.

State the first four values of T(2), T(4), T(8), and T(16).

Guess the close form formula for T(n).

Use induction to prove your claim in part b. Explicitly explain the three steps of your induction

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