Question

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

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

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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**.