Explanation:

To find which number replaces the question mark in the series, we analyze the differences between consecutive terms:

- Difference between 8 and 5 is 3

- Difference between 24 and 8 is 16

- Difference between 57 and 24 is 33

- Difference between 109 and 57 is 52

- Difference between 184 and 109 is 75

- Difference between 288 and 184 is 104

- Difference between 423 and 288 is 135

Examining these differences, they follow the sequence of: 3, 16, 33, 52, 75, 104, 135. The differences increase incrementally by 13.

Following this pattern, the next difference will be 135 + 13 = 148.

Adding 148 to the last number in the series (423) gives 571.

- Therefore, the correct option is: Option 1: 559

- 559