Let T(1) = 1 and T(n) = T(n/2) + n², na power of 2. A) Apply mathematical induction to show that T(n) = (4n2 - 1)/3. [Hint: use strong induction] B) Apply the Master Theorem to show that T(n) is O(n2)

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Let T(1) = 1 and T(n) = T(n/2) + n², na power of
2.
A) Apply mathematical induction to show that
T(n) = (4n2 - 1)/3. [Hint: use strong induction]
B) Apply the Master Theorem to show that T(n)
is O(n²)
Transcribed Image Text:Let T(1) = 1 and T(n) = T(n/2) + n², na power of 2. A) Apply mathematical induction to show that T(n) = (4n2 - 1)/3. [Hint: use strong induction] B) Apply the Master Theorem to show that T(n) is O(n²)
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