If the ratio of consecutive terms in a geometric series is constant, what is thi

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Question: If the ratio of consecutive terms in a geometric series is constant, what is this ratio called? (2023)

Options:

Correct Answer: Common ratio

Exam Year: 2023

Solution:

The constant ratio of consecutive terms in a geometric series is called the common ratio.

If the ratio of consecutive terms in a geometric series is constant, what is this ratio called? (2023)

If the ratio of consecutive terms in a geometric series is constant, what is this ratio called? (2023)

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 in a geometric series, the ratio of any term to the term before it is always the same.
Step 3: Recognize that this fixed number is what we refer to as the 'common ratio'.
Step 4: Conclude that the constant ratio of consecutive terms in a geometric series is called the common ratio.

Geometric Series – 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.
Common Ratio – The constant factor between consecutive terms in a geometric series.