https://file.aiquickdraw.com/mathbot/file/1725655625717cfcbuwi3.jpg

The image quality might be affecting the text extraction. However, from what I can discern visually, the question seems to be about identifying whether a given series or sequence is finite or infinite.

The series in question appears to be:

\[ 1 + 0.5 + 0.25 + 0.125 + \dots \]

This is a geometric series with the first term \( a = 1 \) and the common ratio \( r = 0.5 \). Since the common ratio is less than 1, the series is converging and infinite.

Among the multiple-choice options visible:
- The series is an **infinite series**.

Does this explanation help? Feel free to ask for more details, or let me know if you'd like to revisit any part of the question.

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Relative questions:
1. What is the formula for the sum of an infinite geometric series?
2. How can you distinguish between a sequence and a series?
3. What are the conditions for a geometric series to converge?
4. How is the sum of a finite series calculated?
5. Can a series have both finite and infinite elements?

**Tip:** In geometric series, when the common ratio is between -1 and 1, the series tends to converge to a finite sum!

Determine whether the following is a sequence or a series and if it's finite or infinite: 1 + 0.5 + 0.25 + 0.125 + ...

Learn how to determine whether a series is finite or infinite using the geometric series example: 1 + 0.5 + 0.25 + 0.125 + .... This covers key mathematical concepts of series convergence and the sum of an infinite geometric series. Suitable for students in Grades 9-12.

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