https://file.aiquickdraw.com/mathbot/file/1727303896003m6hq0j05.jpg

The image shows a set of patterns in which each subsequent pattern builds upon the previous one by adding blocks.

**Pattern Description:**
1. **Pattern 1**: One block.
2. **Pattern 2**: Three blocks, two stacked vertically with one to the right.
3. **Pattern 3**: Six blocks, forming an 'L' shape with two vertical blocks and four horizontal blocks to the right.

**Prediction for the next three patterns:**
- **Pattern 4**: Add a row of three more blocks beneath the horizontal row, resulting in a step-like pattern.
- **Pattern 5**: Continue building on this, likely adding a new row of blocks, making a larger step shape.
- **Pattern 6**: Further expand by adding more blocks, following the same growth principle.

Do you want a sketch or more details on how to draw these patterns?

### Relative Questions:
1. What is the rule for adding blocks in each pattern?
2. How many blocks will Pattern 4, 5, and 6 contain?
3. Can you describe the shape that Pattern 4 will take?
4. How do geometric sequences apply to this pattern growth?
5. How would the pattern change if a different rule for adding blocks were used?

**Tip:** When dealing with growing patterns, look for consistent changes or additions between steps to determine the next sequence.

Draw the next three terms for the given pattern of blocks. The first three patterns show increasing numbers of blocks in an 'L' shape, with the first pattern having one block, the second pattern having three blocks, and the third pattern having six blocks arranged in a step-like structure.

In this math problem, students are asked to identify and predict the next three terms in a growing block pattern. The first three terms follow a step-like structure, increasing the number of blocks in a specific pattern. The exercise tests students' understanding of pattern recognition and growth sequences, suitable for grades 3-5.

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