Complete the table for the number of squares in each stage of the pattern. The first three stages are: Stage 1: 4 squares, Stage 2: 7 squares, Stage 3: 10 squares. What is the number of squares for St

Here's the solution to completing the table and identifying the correct shape.

Part 1: Complete the table

Step 1: Identify the pattern in the number of squares.
From the given table:

• Stage 1: 4 squares
• Stage 2: 7 squares
• Stage 3: 10 squares The number of squares increases by 3 for each subsequent stage ($7-4=3$, $10-7=3$). This is an arithmetic progression with a common difference $d=3$.

Step 2: Calculate the number of squares for Stage 4.
Using the pattern, add 3 to the number of squares in Stage 3:

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