Question: A ternary tree is either empty or consists of a node called the root and three ternary trees (called the left, middle, and right subtrees).

A ternary tree is either empty or consists of a node called the root and three ternary trees (called the left, middle, and right subtrees). Prove that a ternary tree of height h has at most (3^(h+1) 1)/2 nodes, by using induction on the number of nodes in in the tree. Note that the empty tree has height 1.

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