A goup of 630 children is arranged is rows for a group photograph session. Each row contain three fewer children that the row in front of it. What numbers of rows is not possible?

6 Explanation: Step 1: Set up the AP Formula Let: = number of rows. = number of children in the first (front) row. = common difference = (since each subsequent row has 3 fewer children). = total number of children = . The formula for the sum of an AP is: Step 2: Create the Equation Substituting the known values: For a configuration to be possible, must be a positive integer , and the number of children in the last row must also be greater than zero. Step 3: Test the Options Case (a): (Integer). Possible. Case (b): (Integer). Possible. Case (c): (Integer). Possible. Case (d): Since the number of children ( ) cannot be a fraction ( ), 6 rows are not possible. Final Answer: The number of rows that is not possible is 6 . Correct Option: (d)

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