AMC 10A 2025 (Problem 19)

An array of numbers is constructed beginning with the numbers 1-1, 33, and 11 in the top row. Each adjacent pair of numbers is summed to produce a number in the next row. Each row begins and ends with 1-1 and 11, respectively. If the process continues, one of the rows will sum to 12,28812,288. In that row, what is the third number from the left?
AMC 10A 2025 Problem 19 diagram
(A)  29\text{(A)}\;-29(B)  21\text{(B)}\;-21(C)  14\text{(C)}\;-14(D)  8\text{(D)}\;-8(E)  3\text{(E)}\;-3