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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 17 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? Neither

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 plot are 120, 60, 20, and 5.

We can see above that neither the ratios nor the differences are the same. Therefore, the sequence is neither geometric nor arithmetic.

Subchapter links

Communicate Your Answer p.305

Monitoring Progress p.306-309

Exercises p.310-312