Use the rule "Multiply by 3" to make a pattern. Drag the numbers to the correct boxes. Numbers may be used once, more than once, or not at all.

(2 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
4, The product of the factor 4 times the factor 3, The product of the factor 4 times the factor 3 times the factor 3 again, 108, The product of the factor 108 times the factor 3

1 answer

To create a pattern using the rule "Multiply by 3," let's look at each response given:

  1. 4 - This is our starting number.
  2. The product of the factor 4 times the factor 3 - This means \(4 \times 3 = 12\).
  3. The product of the factor 4 times the factor 3 times the factor 3 again - This means \(4 \times 3 \times 3 = 36\).
  4. 108 - This is another number we can work with.
  5. 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:

  1. 4
  2. The product of the factor 4 times the factor 3 (which is 12)
  3. The product of the factor 4 times the factor 3 times the factor 3 again (which is 36)
  4. 108
  5. The product of the factor 108 times the factor 3 (which is 324)

So, to fill in the boxes:

  1. 4 goes in the first box.
  2. The product of the factor 4 times the factor 3 goes in the second box.
  3. The product of the factor 4 times the factor 3 times the factor 3 again goes in the third box.
  4. 108 goes in the fourth box.
  5. 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.