Question

A pattern of rectangles made of small squares. step 1 has 2 squares side by side. step 2 has 6 squares, 3 across and 2 down. step 3 has 12 squares, 4 across and 3 down. select all of the expressions that give the number of small squares in step n . responses

Answer 1

The pattern of rectangles made of small squares can be described using the expression n × (n+1) to find the number of squares in step n.

Step-by-step explanation:

1. Step 1: 2 squares
2. Step 2: 6 squares (3 across and 2 down)
3. Step 3: 12 squares (4 across and 3 down)
4. To find the pattern, observe that the number of squares in each step is the product of the number of squares across and the number of squares down.
5. Therefore, the expression that gives the number of squares in step n is n × (n+1).