Use the substitution method to prove the solutions for the following recurrences: Recurrence Solution 1 T(n)...

Use the substitution method to prove the solutions for the following recurrences:

	Recurrence	Solution
1	T(n) = T(n-1) + n	O(n²)
2	T(n) = T(n/2) + 1	O(lgn)
3	T(n) = T(n/2) + n	ϴ(nlgn)
4	T(n) = 3T(n/2) + n	O(n^lg(3)).
5	T(n) = 2T(n/2) + n²	O(n²)
6	T(n) = 4T(n/2 + 2) + n	O(n²)
7	T(n) = 2T(n – 1) + 1	O(2ⁿ)
8	T(n) = T(n – 1) + T(n/2) + n	O(2ⁿ)
9	T(n) = 4T(n/2) + cn.	ϴ(n²)

Expert Solution

venereology answered 9 months ago

Solve the recurrence equations by Substitution a) T(n) = 4T (n/2) + n, T (1) =...

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