Prove the specified upper-bounds for each of the following recurrence relations using an inductive, substitution-based proof....

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Prove the specified upper-bounds for each of the following recurrence relations using an inductive, substitution-based proof. Carefully show all of your steps, making it clear what you are assuming, and what you are trying to prove. (12 points). T(n) = 4T(n/5)+n is O(n) (12 points). T(n) =T(n-1)+1 is O(n) Prove the specified upper-bounds for each of the following recurrence relations using an inductive, substitution-based proof. Carefully show all of your steps, making it clear what you are assuming, and what you are trying to prove. (12 points). T(n) = 4T(n/5)+n is O(n) (12 points). T(n) =T(n-1)+1 is O(n)