Unit
Sequences and Series
MA, Stanford University
Teaching in the San Francisco Bay Area
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A geometric sequence is a number pattern where the ratio of successive terms, r, is constant. You could think of it as a number pattern where you're multiplying by a constant number to get from one term to the next. If you're presented with a number pattern and asked to determine whether or not it is geometric, look for a constant "multiply by" or "divide by" number to get from one term to the next. This value is also r, or the ratio. It is still geometric even if r is a fraction and/or negative. If you can't find r in your head, but the second term over the first term and reduce.
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