Analyze the Sequence 13, 10, 7, 4, 1: Identifying Number Patterns

To solve this problem, we will determine if the given sequence of numbers follows a particular pattern or property:

First, we list the sequence provided: $13, 10, 7, 4, 1$.

Since an arithmetic sequence is one of the simplest patterns, we will check for a common difference, which involves subtracting each term from the next:

• Calculate the difference between the first and second terms: $10 - 13 = -3$.
• Calculate the difference between the second and third terms: $7 - 10 = -3$.
• Calculate the difference between the third and fourth terms: $4 - 7 = -3$.
• Calculate the difference between the fourth and fifth terms: $1 - 4 = -3$.

We observe that the difference between each consecutive pair of numbers is consistently $-3$. This implies that the sequence has a common difference of $-3$, and therefore, it is an arithmetic sequence.

In conclusion, the identified property for the sequence is that it is an arithmetic sequence with a common difference of $-3$.

Therefore, the solution to the problem is $-3$.