Analyze the Number Sequence: Finding Patterns in 13, 16, 20, 23

To solve this problem, we'll check for consistent differences between the numbers, as this can indicate a property such as an arithmetic sequence.

• Step 1: Calculate the difference between each pair of consecutive numbers.

Let's look at the differences:

$16 - 13 = 3$

$20 - 16 = 4$

$23 - 20 = 3$

• Step 2: Analyze the differences.

The differences between consecutive numbers are not consistent: $3, 4,$ and $3$.

This irregularity shows that there is no single property like a consistent common difference, which would indicate an arithmetic sequence.

Therefore, no particular property applies to this set as a whole based on the differences analyzed.

The correct choice is that a regular property does not exist among these numbers.

Therefore, the solution to the problem is: Does not exist.