Which of the following is NOT a characteristic of a geometric sequence? (2023)

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Question: Which of the following is NOT a characteristic of a geometric sequence? (2023)

Options:

Correct Answer: The difference between consecutive terms is constant.

Exam Year: 2023

Solution:

In a geometric sequence, the ratio between consecutive terms is constant, not the difference.

Which of the following is NOT a characteristic of a geometric sequence? (2023)

Which of the following is NOT a characteristic of a geometric sequence? (2023)

Step 1: Understand what a geometric sequence is. A geometric sequence is a list of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
Step 2: Identify the key characteristic of a geometric sequence. The main characteristic is that the ratio (the result of dividing one term by the previous term) between consecutive terms is constant.
Step 3: Recognize what is NOT a characteristic of a geometric sequence. In a geometric sequence, the difference (the result of subtracting one term from the previous term) is NOT constant.
Step 4: Conclude that if a sequence has a constant difference between terms, it is not a geometric sequence; it is an arithmetic sequence instead.

No concepts available.