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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

1 answer

To determine which rule will have the 12th shape as a circle, we need to look at the repeating patterns for each option.

  1. triangle, circle, square

    • The pattern repeats every 3 shapes: triangle, circle, square.
    • To find the 12th shape, calculate: 12 mod 3 = 0. Since a remainder of 0 indicates the last shape in the cycle, the 12th shape is a square.

  2. circle, square

    • The pattern repeats every 2 shapes: circle, square.
    • To find the 12th shape, calculate: 12 mod 2 = 0. Again, a remainder of 0 indicates the last shape in the cycle, so the 12th shape is a square.

  3. rectangle, circle

    • The pattern repeats every 2 shapes: rectangle, circle.
    • To find the 12th shape, calculate: 12 mod 2 = 0. The 12th shape is again a rectangle.

  4. circle, circle, triangle

    • The pattern repeats every 3 shapes: circle, circle, triangle.
    • To find the 12th shape, calculate: 12 mod 3 = 0. The 12th shape is a triangle.

After analyzing all options, none of the rules will have the 12th shape as a circle. However, if you are asking specifically which pattern has the 12th shape not being a circle, then we would choose the one with two circles before a triangle, which is the last option provided: circle, circle, triangle.