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Which of the following is NOT a property of a geometric series? (2023)

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Question: Which of the following is NOT a property of a geometric series? (2023)

Options:

  1. The ratio between consecutive terms is constant
  2. The sum can be infinite
  3. The terms can be negative
  4. The difference between consecutive terms is constant

Correct Answer: The difference between consecutive terms is constant

Exam Year: 2023

Solution:

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

Which of the following is NOT a property of a geometric series? (2023)

Practice Questions

Q1
Which of the following is NOT a property of a geometric series? (2023)
  1. The ratio between consecutive terms is constant
  2. The sum can be infinite
  3. The terms can be negative
  4. The difference between consecutive terms is constant

Questions & Step-by-Step Solutions

Which of the following is NOT a property of a geometric series? (2023)
  • Step 1: Understand what a geometric series is. A geometric series 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 properties of a geometric series. One key property is that the ratio between consecutive terms is constant.
  • Step 3: Recognize that in a geometric series, the difference between consecutive terms is not constant. This is a property of an arithmetic series, not a geometric series.
  • Step 4: Conclude that the statement about the difference being constant is NOT a property of a geometric series.
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