https://file.aiquickdraw.com/mathbot/file/1727037448987cdhyxe29.jpg

The image shows a sequence of patterns made using tiles. Based on the given pattern, we need to determine the rule for the sequence and complete it.

### Observing the Pattern:
1. **Pattern 1**: There are 4 pink tiles.
2. **Pattern 2**: There are 4 pink tiles and 3 blue tiles.
3. **Pattern 3**: There are 4 pink tiles and 6 blue tiles.
4. **Pattern 4**: There are 4 pink tiles and 9 blue tiles.

### Rule:
- The number of pink tiles stays constant at **4** for every pattern.
- The number of blue tiles increases by **3** each time.

### Rule Completion:
- **Start with 4 tiles** (representing the constant pink tiles).
- **Add 3 tiles each time** (representing the increasing blue tiles).

Would you like further details or explanations on how this pattern works?

Here are 5 related questions to explore:
1. What would the 5th pattern look like based on this rule?
2. Can you create a formula for the total number of tiles in the nth pattern?
3. How would this sequence behave if the number of added tiles increased by 4 instead of 3?
4. What is the significance of keeping the pink tiles constant in this pattern?
5. How would the sequence change if the starting number of pink tiles was different?

**Tip**: When recognizing patterns, check for both constant and variable elements to form the rule easily.

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

Learn how to find the rule for a sequence of patterns made with tiles. In this problem, the number of pink tiles stays constant at 4, while the number of blue tiles increases by 3 each time. Explore arithmetic sequences and patterns.

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