The following are rules for repeating patterns. For which rule will the eighth shape be a diamond?

Question

(1 point)
Responses

diamond, square, triangle

diamond, square, triangle

circle, triangle, diamond

circle, triangle, diamond

triangle, diamond

triangle, diamond

diamond, circle

Answer 1

To determine which pattern will have a diamond as the eighth shape, let's analyze the repeating rules provided:

1. diamond, square, triangle: This pattern repeats every 3 shapes. The sequence is:

   • 1st: diamond
   • 2nd: square
   • 3rd: triangle
   • 4th: diamond
   • 5th: square
   • 6th: triangle
   • 7th: diamond
   • 8th: square (Not a diamond)

2. circle, triangle, diamond: This pattern also repeats every 3 shapes. The sequence is:

   • 1st: circle
   • 2nd: triangle
   • 3rd: diamond
   • 4th: circle
   • 5th: triangle
   • 6th: diamond
   • 7th: circle
   • 8th: triangle (Not a diamond)

3. triangle, diamond: This pattern repeats every 2 shapes. The sequence is:

   • 1st: triangle
   • 2nd: diamond
   • 3rd: triangle
   • 4th: diamond
   • 5th: triangle
   • 6th: diamond
   • 7th: triangle
   • 8th: diamond (This is a diamond)

4. diamond, circle: This pattern repeats every 2 shapes. The sequence is:

   • 1st: diamond
   • 2nd: circle
   • 3rd: diamond
   • 4th: circle
   • 5th: diamond
   • 6th: circle
   • 7th: diamond
   • 8th: circle (Not a diamond)

Based on the analysis, the only rule that has a diamond as the eighth shape is:

triangle, diamond.