Yes, the sequence \(1, 5, 9, 13\) is an arithmetic sequence.

An arithmetic sequence is one where the difference between consecutive terms is constant. To verify this:

- \(5 - 1 = 4\)
- \(9 - 5 = 4\)
- \(13 - 9 = 4\)

The common difference is \(4\), which remains consistent between each term. Therefore, this sequence is arithmetic.

Would you like more details or have any questions?

Here are five related questions:
1. What is the formula for the \(n\)-th term of this arithmetic sequence?
2. How do you find the sum of the first \(n\) terms of an arithmetic sequence?
3. Can you identify the common difference in another arithmetic sequence?
4. What are the first five terms of an arithmetic sequence with a common difference of \(3\) and a starting term of \(2\)?
5. How can you determine if a given sequence is arithmetic?

**Tip:** Always check the difference between consecutive terms to quickly identify an arithmetic sequence.

Discover why the sequence 1, 5, 9, 13 is an arithmetic sequence and learn how to identify and analyze such sequences. This page provides a detailed explanation, including the common difference and formulas used in arithmetic sequences. Suitable for students in Grades 7-9.

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