To find out the wrong term in the series, let's analyze the given sequence:

5, 10, 17, 24, 37

Step 1: Calculating Differences
To identify the pattern in the series, let's calculate the differences between each consecutive term:

10 - 5 = 5
17 - 10 = 7
24 - 17 = 7
37 - 24 = 13

Step 2: Analyzing the Differences
Now, let's analyze the differences we calculated:

5, 7, 7, 13

The differences between the terms are not constant, which indicates that the series does not follow a simple arithmetic progression.

Step 3: Identifying the Wrong Term
To identify the wrong term, we need to observe the pattern in the differences. In this case, the differences seem to be increasing by 2 each time.

However, when we look at the last difference (13), it does not follow the pattern. Therefore, the wrong term in the series is the term that corresponds to this difference.

Step 4: Identifying the Wrong Term in the Series
The wrong term is the one that corresponds to the last difference (13), which is 37.

Therefore, the correct answer is option 'C' (37).

Conclusion
By calculating the differences between the terms and observing the pattern, we can identify the wrong term in the series. In this case, the wrong term is 37, as it does not follow the pattern established by the other terms.