Explanation:

- Let's list the given series: 9, 16, 30, 54, 79, 114.

- Notice the differences between consecutive terms: 7, 14, 24, 25, 35.

- These aren't consistent, suggesting a pattern issue.

- Try forming a new series based on differences: 9, 16, 27, 44, 69, 104.

- Calculating differences here: 7, 11, 17, 25, 35.

- This series follows a clear increasing pattern in differences.

- The problem shows the error at number 54.

- The series is consistent after 44 with 69 and 104.

Correct Answer

- Option 2: 54