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 14 Page 310

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

Arithmetic, Geometric, or Neither? Arithmetic
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.

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