Web Reference: Jan 11, 2026 · The recursion tree method is used to analyze the time complexity of recursive algorithms by visually representing the recurrence as a tree. Each node of the tree represents the work done in a single recursive call, and each level represents one stage of the recursion. First let's create a recursion tree for the recurrence T (n) = T (n 2) + n 2 and assume that n is an exact power of 2. The number of nodes at depth i is 1. And each node at depth i, for i = 0, 1, 2,, lg n 1, has a cost of n 2 4 i. So the total cost over all nodes at depth i, is n 2 4 i. A recursion tree is a tree where each node represents the cost of a certain recursive sub-problem. Then you can sum up the numbers in each node to get the cost of the entire algorithm.
YouTube Excerpt: An example of solving this
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