The rule for a repeating pattern is "circle, diamond, sphere, circle, square." Use the drop-down menus to complete the phrase.

Question

To find the thirty-second shape of the pattern,
Choose
32 by
Choose
. The remainder is
Choose
making the thirty-second shape a
Choose
.

Skip to navigation

Answer 1

To find the thirty-second shape of the pattern, you follow these steps:

1. Determine the length of the pattern: The repeating pattern "circle, diamond, sphere, circle, square" has 5 shapes.

2. Calculate the position: To find the thirty-second shape, you calculate \(32 \mod 5\).

3. Perform the calculation: \[ 32 \div 5 = 6 \text{ (which gives a quotient of 6 and a remainder of 2)} \] So, \(32 \mod 5 = 2\).

4. Identify the remainder: The remainder is 2.

5. Identify the shape: The shapes in the pattern correspond as follows:

   • 1 -> circle
   • 2 -> diamond
   • 3 -> sphere
   • 4 -> circle
   • 5 -> square

Since the remainder is 2, the thirty-second shape is a diamond.

Putting this all together, the complete phrase would be:

To find the thirty-second shape of the pattern, choose 32 by 5. The remainder is 2 making the thirty-second shape a diamond.