Pascal's Triangle Exploration Use the method of creating Pascal's Triangle to fill in the following missing numbers. Use the triangle provided in the PowerPoint to check your answers. 2 3 3 6 4 10 1) a) Find the sum of the numbers in the first few rows of Pascal's triangle. Fill in the following table: Row 0 1 2 3 4 5 6 Row Sum 1 2 b) What is the pattern of the sums? c) How could you relate the row number to the sum of that row? d) How would you express the sum of the elements in the 20th row? The 100th row? The nth row? 2) a) Where is the number that is the sum of the first 4 numbers of the first diagonal (1 + 2 + 3 + 4)? The first 5 elements of the first diagonal? b) Where is the number that is the sum of the first 4 numbers of the second diagonal (1+ 3 +6 + 10)? c) What is the pattern that will give the sum of any amount of numbers in any diagonal? 3) a) Find the sum of all the numbers in Pascal's triangle down to and including the first 6 rows. Fill in the following table: Row 0 5 Total Sum