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The task is to determine which of the given sequences are arithmetic sequences. An **arithmetic sequence** has a constant difference between consecutive terms. Let's analyze each sequence:

1. **100, 200, 400, 800, ...**
   - The differences are: \( 200 - 100 = 100 \), \( 400 - 200 = 200 \), \( 800 - 400 = 400 \).
   - The differences are not constant, so **this is not an arithmetic sequence**.

2. **25, 30, 35, 40, ...**
   - The differences are: \( 30 - 25 = 5 \), \( 35 - 30 = 5 \), \( 40 - 35 = 5 \).
   - The differences are constant, so **this is an arithmetic sequence**.

3. **-3, 1, 5, 9, ...**
   - The differences are: \( 1 - (-3) = 4 \), \( 5 - 1 = 4 \), \( 9 - 5 = 4 \).
   - The differences are constant, so **this is an arithmetic sequence**.

4. **-4, -12, -36, -108, ...**
   - The differences are: \( -12 - (-4) = -8 \), \( -36 - (-12) = -24 \), \( -108 - (-36) = -72 \).
   - The differences are not constant, so **this is not an arithmetic sequence**.

### Conclusion:
The sequences that represent arithmetic sequences are:
- **25, 30, 35, 40, ...**
- **-3, 1, 5, 9, ...**

Would you like further details or have any questions?

Here are 5 relative questions for further exploration:
1. What is the formula to find the nth term of an arithmetic sequence?
2. How do geometric sequences differ from arithmetic sequences?
3. Can a sequence have both arithmetic and geometric properties?
4. What is the sum of the first n terms in an arithmetic sequence?
5. How can we identify a sequence from its general term formula?

**Tip:** In arithmetic sequences, if you suspect the sequence might be arithmetic, always check the difference between consecutive terms to verify it.

Determine which of the following sequences represent an arithmetic sequence. Select all that apply: 100, 200, 400, 800, ...; 25, 30, 35, 40, ...; -3, 1, 5, 9, ...; -4, -12, -36, -108, ...

Explore how to identify arithmetic sequences through examples. This guide explains the definition of arithmetic sequences and demonstrates how to find constant differences between consecutive terms. Suitable for students in Grades 7-12.

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