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How to Construct Pascal's Triangle. In Pascal's Triangle, the top row is 1, with the second row just below it containing 1 and 1. To construct each subsequent row, add each pair of numbers, moving from left to right so that each number on a row is the sum of the two numbers just above it, to the right and the left.Put a 1 on both ends of each row.o construct each subsequent row, add each pair of numbers, moving from left to right so that each number on a row is the sum of the two numbers just above it, to the right and the left. Put a 1 on both ends of each row.
Note the symmetry, aside from the beginning and ending 1's each term is the sum of the two terms above. Consider again Pascal's Triangle in which each number is obtained as the sum of the two neighboring numbers in the preceding row. The way the entries are constructed in the table give rise to Pascal's Formula: Theorem 6.6.1 Pascal's Formula.