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Recognizing Geometric Sequences

Recognizing Geometric Sequences 1.10 - Solution

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We know the initial number of players and the numbers of players left after the first and second rounds. We will make a table and check if there is a common ratio. Let and represent the number of rounds and the number of players left, respectively.

We see that there is a common ratio of between the players. We can find the next three terms by multiplying the number of players left after the second round by for each round. Let's do it!

The next three terms are and which are the numbers of players remain after the third, fourth and fifth rounds, respectively.