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Find the common difference of the arithmetic sequence  .−19,−11,−3,...

To find the common difference in an arithmetic sequence, we subtract the first term from the second term. Given the sequence:

\[
-19, -11, -3, \dots
\]

we can find the common difference, \( d \), by subtracting \( -19 \) from \( -11 \):

\[
d = -11 - (-19) = -11 + 19 = 8
\]

So, the common difference \( d \) is **8**.

Would you like further explanation or have any questions about this process?

Here are 5 related questions to help reinforce the concept:
1. How would you find the 10th term in this sequence?
2. How can we determine the formula for the \( n \)-th term of an arithmetic sequence?
3. What is an example of an arithmetic sequence with a common difference of -5?
4. How can we tell if a sequence is arithmetic based on its terms?
5. What happens to the terms of an arithmetic sequence if the common difference is 0?

**Tip:** In an arithmetic sequence, the difference between consecutive terms is always constant, which is why we call it the "common difference."

Find the common difference of the arithmetic sequence -19, -11, -3, ...

Learn how to find the common difference in the arithmetic sequence -19, -11, -3 with a clear step-by-step explanation. This solution covers core concepts of sequences and the method to determine the constant difference in arithmetic sequences. Perfect for students in Grades 6-8.

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