https://file.aiquickdraw.com/mathbot/file/1727020214733sg0ka790.jpg

The problem you’ve uploaded shows a sequence of dot patterns where each pattern builds upon the previous one. You are asked to find out how many dots are added each time as the sequence progresses.

From the image:
- **Pattern number 1** has **5 dots**.
- **Pattern number 3** has **13 dots**.
- **Pattern number 5** has **21 dots**.

The number of dots in each pattern increases according to a specific rule. The differences between consecutive terms can help us identify this pattern:

1. From **Pattern 1** (5 dots) to **Pattern 3** (13 dots), the number of added dots is:
   \[
   13 - 5 = 8 \text{ dots}
   \]
   
2. From **Pattern 3** (13 dots) to **Pattern 5** (21 dots), the number of added dots is:
   \[
   21 - 13 = 8 \text{ dots}
   \]

So, it appears that **8 dots are added** between each pattern in this sequence.

If you'd like, I can help explore further details about how this pattern is constructed, or if you have any questions, feel free to ask.

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

Here are 5 related questions to think about:
1. What would be the number of dots in Pattern 7?
2. Can you derive a general formula for the number of dots in Pattern \(n\)?
3. How many dots will there be in Pattern 10?
4. Is the increase in the number of dots consistent between every pattern?
5. What other shapes could be formed if you continue this sequence?

**Tip**: When working with sequences, looking for differences between terms often helps reveal the underlying pattern!

How many dots are added each time in the sequence of patterns made from dots?

Explore how to determine the number of dots added at each step in a sequence of dot patterns. This problem involves identifying an arithmetic sequence and calculating the difference between consecutive terms. Suitable for students in Grades 5-7.

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