Let T(n) be given using the recursive formula: T(n)-T(n -1) n, T(1) -1. Prove that T(n) = 0(n2 ) Let T(n) be given using the recursive formula: T(n) -T(n/2) + n, T(1)-1. Prove that T(n)- O(n) Let T(n) be given using the recursive formula: T(n) - 2 - T(n/2) +n, T(1) 1. Prove that T(n) = 0(n log(n)) begiven using the recursive formula T (n)-5. T (n 1) + 1 7(1)-1 Provethat Prove that T(n) - O(5") Let T(n) be given using the recursive formula: T'(n)-T(n/3) + T(2n/3) + n, T(1)-1. Prove that T (n) - O(n log(n)) Let T(n) be given using the recursive formula: T(n)- T(n/3) + T(2n/3), T(1) 1. Prove that T(n) - O(n)