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Draw the next building in the sequence and count the blocks in level 1 of each building.
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Answer
1. Draw the next building in the sequence.
The pattern for the buildings is that each new building adds a new bottom layer with one more block than the previous building's bottom layer, and the existing layers are stacked on top.
- Building 1 has 1 light blue block.
- Building 2 has 2 red blocks at the bottom, with 1 light blue block on top.
- Building 3 has 3 green blocks at the bottom, 2 red blocks in the middle, and 1 light blue block on top.
Following this pattern, Building 4 will have:
- A bottom layer of 4 blocks (e.g., yellow blocks).
- A layer of 3 green blocks on top of the middle two yellow blocks.
- A layer of 2 red blocks on top of the middle green block.
- A single light blue block on top of the middle red block.
Visually, it would look like this (imagine the colors as described):
(Where the top block is light blue, the next layer down is red, the next is green, and the bottom layer is a new color like yellow).
2. Count the blocks in level 1 of each building. In the table below, fill in the number of blocks in level 1 for buildings 1, 2, 3 and 4.
"Level 1" refers to the bottommost row of blocks in each building.
| Building Number | Number of blocks in Level 1 |
|---|---|
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 4 | 4 |
The completed table is:
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