Show that the solution to $$T(n) = 2T\left(\biggl\lfloor \frac n 2 \biggr\rfloor+17\right)+n$$ is $\Theta(n \log n)$?
So the induction hypothesis is $$ T \left( \frac n 2 \right) = c\cdot \frac n2 \cdot \log \frac n2.$$ Hence, $$ T(n) = 2c \cdot \frac n2 \cdot \log \frac n2 + 17 + n $$
but how do I continue from here?