2 ] So....the sum of the interior intergers in the 7th row is 2 (7-1) - … which form rows of Pascal's triangle. Row n+1 is derived by adding the elements of row n. Each element is used twice (one for the number below to the left and one for the number below to the right). [1, 5, 10, 10, 5, 1] [1, 6, 15, 20, 15, 6, 1] For example 6 = 5 + 1, 15 = 5 + 10, 1 = 1 + 0 and 20 = 10 + 10. For another real-life example, suppose you have to make timetables for 300 students without letting the class clash. Now think about the row after it. The sum of the rows of Pascal’s triangle is a power of 2. Now assume that for row n, the sum is 2^n. In mathematics, Pascal’s triangle is a triangular array of the binomial coefficients. - The exponents for y increase from 0 to n (the sum of the x and y exponents is always n) - The coefficients are the numbers in the nth row of Pascal's triangle. Not to be forgotten, this, if you see, is also recursive of Sierpinski’s triangle. It also had its presence during the Golden Age of Islam and The Renaissance, which began in Italy before spreading to the rest of the Europe. Magic 11's. the coefficients can be found in Pascal’s triangle while expanding a binomial equation. We can even make a hockey stick pattern in Pascal’s triangle. One of the most interesting Number Patterns is Pascal's Triangle (named after Blaise Pascal, a famous French Mathematician and Philosopher). The row-sum of the pascal triangle is 1<