2. Inductive and Deductive Reasoning
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How do arithmetic and geometric sequences progress?
Example Solutions:
1: 14, 12, 1, 2, 4
2: 14, 12, 34, 1, 54
3: 14, 12, 14, 12, 14
Since we only have two terms, we cannot tell how the sequence progress. To do this we need at least three terms. For example, it could be an arithmetic sequence, which means there is a common difference separating consecutive terms. It could also be a geometric sequence, which means a common ratio separates consecutive terms. With this information we can write two different sequences.
The sequence could also just be a repetition of the two given numbers.