T(n) = 4T(n/2) + 2T(n/3) + 5n 1. Show that T(n) is O(n ^2.5) using the substitution method and guessing that T(n) cn^2.5

Note: You must show that T(n) cn^2.5 for some constant c > 0 for large enough n. You must not use asymptotic notation in your calculations. Furthermore, your proof must conclude with the same constant c as in your guess.