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AssignmentLong Text

Geometric Sequences

Question 1 • AZ-Common Core Algebra II B

A wrestling tournament begins with 128 competitors. In the first round, each competitor has 1 match against another wrestler. The winner of each match moves on to the next round until there is a winner. Write a sequence in which the terms represent the number of players still in the tournament at the end of each round. Describe the sequence? How many rounds are in the tournament?

Answer

Answer:

The sequence representing this situation is 64, 32, 16, 8, 4, 2, 1. The common ratio is 0.5 because only half of the wrestlers remain after each round. There are 7 rounds of matches until there is a single winner.

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