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.

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!