In a geometric sequence, the constant ratio between consecutive terms is called:

In a geometric sequence, the constant ratio between consecutive terms is called:

• A. The common difference
• B. The common ratio
• C. The common product
• D. The common sum

Answer: (C)

In a geometric sequence, each term is formed by multiplying the previous term by a fixed number. That fixed multiplier is called the common ratio. For example, in the sequence 2, 6, 18, 54, the ratio is 3 since 6/2 = 18/6 = 54/18 = 3. The ratio is found by dividing consecutive terms, and it remains the same throughout the sequence. This differs from an arithmetic sequence, where you add a constant amount each step, called the common difference. Terms like common product or common sum aren’t standard terms used to describe these progressions.

In a geometric sequence, each term is formed by multiplying the previous term by a fixed number. That fixed multiplier is called the common ratio. For example, in the sequence 2, 6, 18, 54, the ratio is 3 since 6/2 = 18/6 = 54/18 = 3. The ratio is found by dividing consecutive terms, and it remains the same throughout the sequence. This differs from an arithmetic sequence, where you add a constant amount each step, called the common difference. Terms like common product or common sum aren’t standard terms used to describe these progressions.