To create a pattern using the rule "Multiply by 3," let's look at each response given:
- 4 - This is our starting number.
- The product of the factor 4 times the factor 3 - This means \(4 \times 3 = 12\).
- The product of the factor 4 times the factor 3 times the factor 3 again - This means \(4 \times 3 \times 3 = 36\).
- 108 - This is another number we can work with.
- The product of the factor 108 times the factor 3 - This means \(108 \times 3 = 324\).
Now, arranging them in terms of their progression by multiplying by 3:
- Start with 4.
- Multiply by 3: \(4 \times 3 = 12\).
- Multiply by 3 again: \(12 \times 3 = 36\).
- Skip to 108.
- Multiply by 3: \(108 \times 3 = 324\).
The order using the rule "Multiply by 3" is:
- 4
- The product of the factor 4 times the factor 3 (which is 12)
- The product of the factor 4 times the factor 3 times the factor 3 again (which is 36)
- 108
- The product of the factor 108 times the factor 3 (which is 324)
So, to fill in the boxes:
- 4 goes in the first box.
- The product of the factor 4 times the factor 3 goes in the second box.
- The product of the factor 4 times the factor 3 times the factor 3 again goes in the third box.
- 108 goes in the fourth box.
- The product of the factor 108 times the factor 3 goes in the fifth box.
This is the correct sequence based on the multiplication pattern of 3.