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QUESTION

# How do you determine if the sequence is arithmetic, geometric, or neither: 96, 48, 24, 12, 6, 3, 1.5, .75?

Always test to see if there is a common difference between terms (like added or subtracted), or a common ratio (multiplied or divided).

From 96 to 48, and from 48 to 24, and from 24 to 12, there is a consistent procedure of dividing by 2. (Multiplying by 1/2)

Continue to check subsequent terms to see if the pattern continues... 12 to 6, 6 to 3, etc.

This sequence is geometric because of the pattern that you discovered!