If the ratio of consecutive terms in a geometric series is constant, what is this constant called? (2023)
Practice Questions
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If the ratio of consecutive terms in a geometric series is constant, what is this constant called? (2023)
Common difference
Common ratio
Term factor
Sequence multiplier
The constant ratio of consecutive terms in a geometric series is called the common ratio.
Questions & Step-by-step Solutions
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Q
Q: If the ratio of consecutive terms in a geometric series is constant, what is this constant called? (2023)
Solution: The constant ratio of consecutive terms in a geometric series is called the common ratio.
Steps: 4
Step 1: Understand what a geometric series is. It is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed number.
Step 2: Identify that the fixed number is the same for each pair of consecutive terms in the series.
Step 3: Recognize that this fixed number is called the 'common ratio'.
Step 4: Conclude that the constant ratio of consecutive terms in a geometric series is known as the common ratio.
