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It looks like you're working with a pattern involving blocks. Based on the image you provided, we can see the number of blocks in different steps. Let's analyze the progression and complete the statements:

1. **Step 1** has 1 block.
2. **Step 2** has 4 blocks.
3. **Step 3** has 9 blocks.

It appears that the number of blocks increases in a pattern of perfect squares: \(1^2, 2^2, 3^2,\dots\).

To complete the pattern:
- **Step 4** will have \(4^2 = 16\) blocks.
- **Step 5** will have \(5^2 = 25\) blocks.

The pattern adds **9** more blocks for each step (i.e., the difference between consecutive squares, like \(4 - 1 = 3\), \(9 - 4 = 5\), etc., indicating an increasing difference).

**Summary**:
- Step 4 will have 16 blocks.
- Step 5 will have 25 blocks.
- The pattern adds **9** blocks per step.

Would you like further clarification or more details? Here are 5 related questions:

1. What is the formula for finding the number of blocks in a given step based on this pattern?
2. Can this pattern be generalized to work for any number of steps?
3. How would this pattern change if the number of blocks followed a different progression?
4. What would happen if we used cubes (e.g., \(n^3\)) instead of squares in this pattern?
5. How do you find the difference between each term in an arithmetic sequence?

**Tip**: The differences between consecutive perfect squares (such as \(n^2\)) form a pattern themselves. You can find the difference by calculating \( (n+1)^2 - n^2 = 2n + 1 \).

Complete the statements: If the pattern continues, Step 4 will have ___ blocks. If the pattern continues, Step 5 will have ___ blocks. For every step added, the pattern adds ___ more blocks.

Learn how to determine the number of blocks in a step-by-step pattern based on square numbers. This problem covers identifying patterns, calculating squares, and analyzing arithmetic progressions. Suitable for Grades 5-7.

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