Solve the following recurrence using substitution method with the initial guess as O(n) and assume T(1)=1 as a base case.  T(n) = 2T(n/3)+n This question is an algorithm analysis problem. Please solve it on paper.

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A: Complete answer is below:

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A: I have given an answer in step 2.

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Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.