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Which of the following is NOT a characteristic of a geometric progression?

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Question: Which of the following is NOT a characteristic of a geometric progression?

Options:

  1. The ratio of any two consecutive terms is constant.
  2. The product of the first and last terms equals the square of the middle term.
  3. The sum of the terms can be negative.
  4. The terms can be non-numeric.

Correct Answer: The terms can be non-numeric.

Solution:

In a geometric progression, the terms are numeric and follow a specific ratio; thus, non-numeric terms do not fit the definition.

Which of the following is NOT a characteristic of a geometric progression?

Practice Questions

Q1
Which of the following is NOT a characteristic of a geometric progression?
  1. The ratio of any two consecutive terms is constant.
  2. The product of the first and last terms equals the square of the middle term.
  3. The sum of the terms can be negative.
  4. The terms can be non-numeric.

Questions & Step-by-Step Solutions

Which of the following is NOT a characteristic of a geometric progression?
  • Step 1: Understand what a geometric progression is. It is a sequence 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 characteristics of a geometric progression. The terms must be numeric and follow a specific ratio.
  • Step 3: Look for options that describe characteristics of a geometric progression. One of the options will not fit the definition.
  • Step 4: Determine which option does not involve numeric terms. This option is the one that is NOT a characteristic of a geometric progression.
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