Question: Recursive time bounds : give a big-O bound for T(n) given the following recursive formulas: T(n) = T(2n/3) + T(n/3) + n/6 with base case

Recursive time bounds : give a big-O bound for T(n) given the following recursive formulas:

T(n) = T(2n/3) + T(n/3) + n/6

with base case T(1) = 1.

Could anyone help me solve this question? When I solved it, I got different two answer that (nlogn) or (n\log(3/2)_n) . Which is correct?

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