Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
5. Geometric Sequences
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Exercise 4 Page 305

Geometric sequences are characterized by having consecutive terms with common ratios.

See solution.

Practice makes perfect
Let's start by reviewing the main characteristic of a geometric sequence. This type of sequence has consecutive terms with common ratios. In other words, the next term on the sequence can be obtained by multiplying the current term by a constant number. Now, let's take a look at the table shown below.

This table represents the evolution of a population of bacteria. Since bacteria reproduce by dividing themselves into two, each time 1 hour passes the population is doubled. This means that if we take the quotient of any y-value and the previous one, it will always be 2. Therefore, this can be modeled using a geometric sequence.