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 12 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: There is a common ratio of 7.

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.

We can see above that the differences are not the same. However the ratios are the same. Therefore, the sequence is geometric with a common ratio of 7.