1. **State the problem:** We want to find an equation relating the number of squares $n$ in the pattern to the size number $s$. 2. **Analyze the pattern:** - Size 1 has 5 squares: 1 orange center + 4 green squares. - Size 2 has 9 squares: 1 orange center + 8 green squares. - Size 3 has 13 squares: 1 orange center + 12 green squares. 3. **Identify the pattern in green squares:** - For Size 1, green squares = 4 - For Size 2, green squares = 8 - For Size 3, green squares = 12 This shows green squares increase by 4 for each increase in size $s$. 4. **Express total squares $n$ in terms of $s$:** - Total squares $n = $ orange center (1) $+ $ green squares $(4s)$ - So, $n = 4s + 1$ 5. **Check with given options:** - a) $n = s + 4$ (does not fit) - b) $n = 4s$ (missing the center square) - c) $n = 4s + 1$ (matches our formula) - d) $s = 4n$ (incorrect relationship) **Final answer:** $n = 4s + 1$