Which of the following statements about the series 1, 1/2, 1/4, 1/8 is true? (20

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Question: Which of the following statements about the series 1, 1/2, 1/4, 1/8 is true? (2023)

Options:

Correct Answer: It is a geometric series.

Exam Year: 2023

Solution:

The series is a geometric series with a common ratio of 1/2.

Which of the following statements about the series 1, 1/2, 1/4, 1/8 is true? (2023)

Which of the following statements about the series 1, 1/2, 1/4, 1/8 is true? (2023)

Step 1: Identify the series given: 1, 1/2, 1/4, 1/8.
Step 2: Look for a pattern in the series. Notice how each number is half of the previous number.
Step 3: Calculate the ratio between consecutive terms. For example, 1/2 divided by 1 equals 1/2.
Step 4: Check the next terms: 1/4 divided by 1/2 also equals 1/2, and 1/8 divided by 1/4 equals 1/2.
Step 5: Since the ratio is the same (1/2) for all terms, this series is a geometric series.
Step 6: Conclude that the common ratio of the series is 1/2.

No concepts available.