Answer :
I can see that the terms of the sequence are 2, 3, 2, 5, and 3. To evaluate the series, we need to sum these terms based on a given formula. The formula n+1 does not match the sequence properly because it does not provide a consistent pattern for adding the terms. Let's look at the other options:
- n+1: This formula is not suitable for evaluating the series since it does not align with the terms of the sequence in a logical way.
- n: This formula is also not the correct choice for evaluating the series as it does not follow the pattern of the given terms.
- ann+3: This formula seems incorrect as it is not clear how it relates to the terms of the sequence.
- n+3: This formula does not fit the pattern of the terms in the sequence and is not a suitable choice for evaluating the series.
In this case, none of the provided formulas (n+1, n, ann+3, n+3) seem to match the sequence provided (2, 3, 2, 5, 3) in a logical and consistent manner. Therefore, it is important to carefully analyze the sequence and consider other possible formulas that could accurately evaluate the series.