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Imagine you had an algorithm with runtime T ( n ) satisfying the recursion T ( n ) = T ( n / 2 )

Imagine you had an algorithm with runtime T(n) satisfying the recursion
T(n)= T(n/2)+1(and T(1)=1). You have probably seen the binary search
algorithm that exactly obeys that recursion. Prove that T(n)= O(log n). Then,
imagine another algorithm with Q(n)= Q(n/2)+n (and Q(1)=1). Prove that
Q(n)= O(n).2

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