Question

______ in a geometric sequence, the value of the ratio between any two consecutive terms (1 point)
○ linear change
○ common difference
○ rate of decay
○ common ratio

Explanation:

To solve this, we recall the definitions:

• Linear Change: Relates to linear functions, not geometric sequences.
• Common Difference: Is the difference between consecutive terms in an arithmetic sequence, not geometric.
• Rate of Decay: A type of exponential change, but not the name for the ratio in a geometric sequence.
• Common Ratio: By definition, in a geometric sequence, the ratio between any two consecutive terms is called the common ratio.

Answer:

D. Common Ratio