Answer: The correct answer is c: The amount each consecutive term is multiplied by in a geometric sequence.
Explanation:
In a geometric sequence, each term after the first is found by multiplying the previous term by a constant value, known as the common ratio. For example, in the sequence 2, 6, 18, 54, each term is obtained by multiplying the previous term by 3, which is the common ratio.
In contrast:
- a describes sequences with fractions but not specifically about common ratios.
- b describes arithmetic sequences, where the difference between consecutive terms is constant, not the ratio.
- d describes sequences with no discernible pattern, which doesn’t specifically involve a common ratio.