The sequence 11, -7, -3, 1 is **not** an arithmetic sequence.

In an arithmetic sequence, the difference between consecutive terms is constant. Let's check the differences between the terms:

- Difference between the second term and the first term: \(-7 - 11 = -18\)
- Difference between the third term and the second term: \(-3 - (-7) = 4\)
- Difference between the fourth term and the third term: \(1 - (-3) = 4\)

Since the differences are not the same (\(-18\) and \(4\)), this sequence is not arithmetic.

Would you like more details or have any questions?

Here are some related questions:
1. What defines an arithmetic sequence?
2. How can you identify a geometric sequence?
3. What is the formula for finding the \(n\)th term in an arithmetic sequence?
4. How do arithmetic sequences differ from arithmetic series?
5. Can a sequence be both arithmetic and geometric?

**Tip:** Always check the difference between consecutive terms to determine if a sequence is arithmetic.

Explore whether the sequence 11, -7, -3, 1 is arithmetic and understand the concept of arithmetic sequences. Analyze differences between terms and learn key formulas for identifying arithmetic sequences. Suitable for Grades 9-12.

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