alleryStart learning →What property makes a sequence geometric?
AAny term divided by the previous term is constant
BAny term minus the previous term is constant
CAny term plus its own position is constant
DAny term times the previous term is constant
Answer & Solution
Correct answer: A. Any term divided by the previous term is constant
1. A geometric sequence grows or shrinks by a constant factor rather than a constant amount.
2. Dividing any term by the one before it therefore always returns the same number.
3. That constant quotient is the common ratio.
4. A constant difference between consecutive terms would make the sequence arithmetic instead.
_Source: OpenStax Algebra and Trigonometry (CC BY 4.0), Ch 13 "Sequences, Probability and Counting Theory", section 13.3 Geometric Sequences_
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