The rule for a repeating pattern is

Question

"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 =

Answer 1

To find the thirty-second shape of the pattern "circle, diamond, sphere, circle, square," we first need to determine the length of the pattern.

The pattern consists of 5 shapes:

1. Circle
2. Diamond
3. Sphere
4. Circle
5. Square

Now, the process to find the thirty-second shape is as follows:

1. Divide 32 by the number of shapes in the pattern: \( 32 \div 5 = 6 \)

2. Calculate the remainder: \( 32 \mod 5 = 2 \)

This means that the thirty-second position in the repeating pattern corresponds to the second shape in the list.

Completing the phrase:

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

So, the completed phrase would read: "To find the thirty-second shape of the pattern, 32 by 5. The remainder is 2 making the thirty-second shape a diamond."