common ratio
Plural
common ratios
1
the constant ratio between consecutive terms
- In the geometric sequence 2, 6, 18, 54, ..., the common ratio between consecutive terms is r=3.
- The common ratio of a geometric sequence can be negative, indicating alternating signs between consecutive terms.
- A common ratio of 1 results in a constant sequence, where all terms are equal.
- The common ratio is a crucial parameter in describing the behavior of populations in exponential growth models.
- When studying exponential functions in algebra, students learn to identify the common ratio in geometric sequences.