What is the next number in the arithmetic sequence below?
-32, -20, - 8, 4, —...

To find the next number in the arithmetic sequence, we first need to determine the common difference. An arithmetic sequence has a constant difference between consecutive terms.

Let's calculate the common difference:

- From \(-20\) to \(-32\): \(-20 - (-32) = 12\)
- From \(-8\) to \(-20\): \(-8 - (-20) = 12\)
- From \(4\) to \(-8\): \(4 - (-8) = 12\)

Thus, the common difference is \(12\).

Now, to find the next number in the sequence, add \(12\) to the last term, \(4\):

\[
4 + 12 = 16
\]

Therefore, the next number in the sequence is **16**.

Would you like more details or have any questions?

Here are some related questions:
1. What is the general formula for the nth term of this arithmetic sequence?
2. How do you find the sum of the first n terms in an arithmetic sequence?
3. Can an arithmetic sequence have a negative common difference?
4. What are the properties of arithmetic sequences compared to geometric ones?
5. How do arithmetic sequences relate to linear functions?

**Tip:** In any arithmetic sequence, once you identify the common difference, you can easily calculate any term using the formula for the nth term.

What is the next number in the arithmetic sequence below? -32, -20, -8, 4, —...

Discover how to find the next number in the arithmetic sequence -32, -20, -8, 4 with a step-by-step solution. Learn about the common difference, how to calculate the next term, and key formulas for arithmetic sequences. Suitable for Grades 6-8.

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