Which of the following is NOT a property of a geometric series? (2023)
Practice Questions
1 question
Q1
Which of the following is NOT a property of a geometric series? (2023)
The ratio between consecutive terms is constant
The sum can be infinite
The terms can be negative
The difference between consecutive terms is constant
In a geometric series, the ratio between consecutive terms is constant, not the difference.
Questions & Step-by-step Solutions
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Q
Q: Which of the following is NOT a property of a geometric series? (2023)
Solution: In a geometric series, the ratio between consecutive terms is constant, not the difference.
Steps: 4
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.
