How many vertices leaves and internal vertices does the, Computer Engineering

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How many vertices leaves and internal vertices does the

The rooted Fibonacci trees T_n are defined recursively in the following way. T₁ and T₂ are both the rooted tree consisting of a single vertex, and for n = 3, 4, ...., the rooted tree T_n is constructed from a root with T_n-1 as its left subtree and T_n-2as its right subtree.

Draw the first seven rooted Fibonacci trees.

How many vertices, leaves, and internal vertices does the rooted Fibonacci tree T_n have, where n is a positive integer? What is its height?

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