Question

Question The following are rules for repeating patterns. For which rule will the 12th shape be a circle? (1 point) Responses triangle, circle, square triangle, circle, square circle, square circle, square rectangle, circle rectangle, circle circle, circle, triangle circle, circle, triangle Skip to navigation

Answer 1

To determine which rule will have the 12th shape as a circle, we can analyze each given pattern sequence.

1. **triangle, circle, square** → This cycle repeats every 3 shapes: (triangle, circle, square). The 12th shape is the same as the 12 mod 3 (i.e., 0 mod 3), which corresponds to the square.

2. **triangle, circle, square** → Same as above; the 12th shape would again be square.

3. **circle, square** → This cycle is 2 shapes long. The 12th shape is 12 mod 2, which results in 0 mod 2, corresponding to the square.

4. **circle, square** → Same as above; the 12th shape would again be square.

5. **rectangle, circle** → The cycle is 2 shapes long. The 12th shape is 0 mod 2, which corresponds to the rectangle.

6. **rectangle, circle** → Same as above; the 12th shape would again be rectangle.

7. **circle, circle, triangle** → This cycle is 3 shapes long. The 12th shape is 0 mod 3, corresponding to the triangle.

8. **circle, circle, triangle** → Same as above; the 12th shape would again be triangle.

From the analysis, none of the provided sequences output a circle as the 12th shape, as the 12th shape in all patterns either results in a triangle, square, or rectangle.

If we were looking specifically for a sequence that gives 'circle' at position 12, we see that every cycle's situation yields a square or some other shape, but not a circle.

Therefore, there seems to be no rule provided explicitly yielding a circle for the 12th position based on the offered sequences. If I missed a potential pattern, feel free to specify one that I can analyze!