The sequence you provided appears to follow a pattern, but let's determine it step by step:

Given terms: 100, 20, 4, _ , _ , _

Looking at the first three terms:
- From 100 to 20, the number is divided by 5 (100 ÷ 5 = 20).
- From 20 to 4, the number is again divided by 5 (20 ÷ 5 = 4).

If the pattern continues by dividing by 5:
- The next term would be \( 4 \div 5 = 0.8 \).
- Then, \( 0.8 \div 5 = 0.16 \).
- Lastly, \( 0.16 \div 5 = 0.032 \).

Thus, the next three terms in the sequence are:
**0.8, 0.16, 0.032**

Would you like more details on the solution or have any questions?

Here are 5 related questions:
1. What is the general formula for this sequence?
2. How do geometric sequences differ from arithmetic sequences?
3. What are common methods for identifying patterns in number sequences?
4. How can we apply division patterns in real-life scenarios?
5. What are the properties of sequences involving constant division?

**Tip:** Sequences that involve constant multiplication or division are often called geometric sequences.

Learn how to identify the next terms in the geometric sequence 100, 20, 4 by dividing each term by a common factor of 5. This math problem covers the concept of geometric sequences and division patterns, suitable for students in Grades 6-8.

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