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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 15 Page 310

Calculate the difference and ratio between consecutive terms. Is either of these the same throughout the sequence?

Is the sequence geometric, arithmetic, or neither? Geometric
Explanation: See solution.

Practice makes perfect

We want to identify the given sequence as arithmetic, geometric, or neither. To do so we will calculate the difference and ratio between consecutive terms. The four terms given in the graph are 2, 10, 50, and 250.

We can see above that the differences are not the same. However the ratios are the same. Therefore, the sequence is a geometric sequence with a common ratio of 5.

Subchapter links

Communicate Your Answer p.305

Monitoring Progress p.306-309

Exercises p.310-312