https://file.aiquickdraw.com/mathbot/file/1730703608370pguh3zb1.jpg

To find the rule for the pattern sequence, let’s examine the number of dots in each pattern and observe any increments.

### Analysis of Each Pattern:
1. **Pattern 1**: 5 dots
2. **Pattern 2**: 7 dots
3. **Pattern 3**: 9 dots
4. **Pattern 4**: 11 dots

### Observing the Pattern:
Each new pattern adds **2 dots** to the previous one.

### Conclusion for the Rule:
1. **Start with**: 5 dots
2. **Add**: 2 dots each time

Thus, the rule for this sequence is:
- **Start with 5 dots, and add 2 dots each time.**

Would you like further explanation on how to find or apply rules in sequences? 

### Additional Questions:
1. What would the 5th pattern look like based on this rule?
2. How do we represent this sequence using an algebraic formula?
3. Can we create a general formula for the \(n\)-th term in this sequence?
4. How many dots will there be in the 10th pattern?
5. If the sequence continued indefinitely, would the pattern always increase linearly?

### Tip:
When finding a sequence rule, observe the differences between terms to identify if it’s an arithmetic (constant addition/subtraction) or geometric (constant multiplication/division) sequence.

The start of a sequence of patterns made using dots is shown below. Copy and complete the rule for the sequence.

Learn how to identify and complete the rule for a dot pattern sequence. This exercise demonstrates the concept of arithmetic sequences by adding a constant number of dots to each pattern. Suitable for Grade 5-6 students.

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