To find the common difference of an arithmetic sequence, subtract any term from the term that follows it.

In your sequence, the terms are:  
\(-11, -17, -23\).

Let's calculate the common difference:

\[
d = -17 - (-11) = -17 + 11 = -6
\]

Next, check the difference between the second and third terms:

\[
d = -23 - (-17) = -23 + 17 = -6
\]

Thus, the common difference \(d\) is \(-6\).

Would you like to explore more details or have any questions?

Here are 5 related questions to expand your understanding:

1. How do you find the \(n\)-th term of an arithmetic sequence?
2. What is the sum of the first \(n\) terms of an arithmetic sequence?
3. How do you determine if a sequence is arithmetic?
4. How does changing the common difference affect the sequence?
5. How can you graph an arithmetic sequence?

**Tip:** The formula for the \(n\)-th term of an arithmetic sequence is \(a_n = a_1 + (n-1) \cdot d\).

Find the common difference for the arithmetic sequence -11, -17, -23.

Discover how to find the common difference of the arithmetic sequence -11, -17, -23. This step-by-step solution explains key arithmetic sequence concepts, including the formula for the common difference and its impact on the sequence, ideal for Grades 6-8 students.

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