Homework Answers
a) The recurrence relations is given as :
T(n) = 2T(n-1) + c where c is a positive constant
b) Using Substitution method, we get
T(n) = 2T(n-1) + c = 4T(n-2) + 2c = 8T(n-3) + 3c
....................
= 2kT(n-k) + c*k
For k = n, we get
T(n) = 2nT(0) + n*c
= O(2n) (Answer)
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