Before email made it easy to contact many people quickly, groups used telephone trees to
Chapter 13, Problem 20(choose chapter or problem)
Before email made it easy to contact many people quickly, groups used telephone trees to pass news to their members. In one group, each person is in charge of calling 4 people. One person starts the tree by calling 4 people. At the second stage, each of these 4 people call another 4 people. In the third stage, each of the people in stage two calls 4 people, and so on. (a) How many people have the news by the end of the 5th stage? (b) Write a formula for the total number of members in a tree of 10 stages. (c) How many stages are required to cover a group with 5000 members?
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