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Recognizing Geometric Sequences

Recognizing Geometric Sequences 1.7 - Solution

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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.

As we can see above, the ratios are not the same. Also remember, that we cannot divide by Thus, the ratio between the fourth and the third term is undefined. However, notice that the differences are the same. Therefore, the sequence is arithmetic with a common difference of