Pattern Rule F888A5
1. The problem states: Start with 2 blue circles and 1 red square, then add 4 red squares each time.
2. We want to find the pattern rule for the number of red squares in each step.
3. Let $n$ be the step number (starting at 1).
4. The initial number of red squares at step 1 is 1.
5. Each subsequent step adds 4 red squares, so the number of red squares at step $n$ is given by the arithmetic sequence formula:
$$\text{Red squares} = 1 + 4(n-1)$$
6. Simplify the formula:
$$1 + 4n - 4 = 4n - 3$$
7. Check the first few values:
- Step 1: $4(1) - 3 = 1$ red square
- Step 2: $4(2) - 3 = 5$ red squares
- Step 3: $4(3) - 3 = 9$ red squares
8. Now, compare this with the two graphs:
- Top-right graph shows red squares as 1, 3, 5 (increments of 2)
- Bottom-right graph shows red squares as 2, 4, 6 (increments of 2)
Neither matches the pattern of adding 4 red squares each time starting from 1.
9. Since the problem states adding 4 red squares each time starting from 1, the correct pattern should be 1, 5, 9, ... red squares.
10. Therefore, neither graph matches the pattern rule exactly, but the top-right graph starts with 1 red square and increases, though by 2 each time, not 4.
Final answer: The correct pattern rule for red squares is $$\boxed{4n - 3}$$, which corresponds to starting with 1 red square and adding 4 each time.
The top-right graph does not match this rule, nor does the bottom-right graph.
Hence, neither graph shows the correct pattern for the given rule.