Step 1 :The pattern is increasing by one box in each row, starting from the top. The total number of boxes in each figure can be calculated as the sum of the first n integers, where n is the number of rows in the figure.
Step 2 :Using the formula for the sum of the first n integers, we get the recursive formula: \(T(n) = \frac{n(n + 1)}{2}\)
Step 3 :\(\boxed{T(n) = \frac{n(n + 1)}{2}}\)