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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

5. Geometric Sequences

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Exercise 33 Page 310

Start by finding a common ratio.

16, 8, and 4

Practice makes perfect

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

We see that there is a common ratio of 12 between the terms. We can find the next three terms by multiplying the number of teams left after the second round by 12 for each round. Let's do it!

The next three terms are 16, 8, and 4, which are the numbers of teams that remain after the third, fourth, and fifth rounds.

Subchapter links

Communicate Your Answer p.305

Monitoring Progress p.306-309

Exercises p.310-312