Pascals Triangle

# Pascals Triangle - H ayden Baldwin January 26, 2010 Period:...

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Hayden Baldwin January 26, 2010 Period: 5 Pascal’s Triangle What is it? Pascal’s triangle is a geometric arrangement of the binomial coefficients in the shape of a triangle. The rows of the triangle are typically enumerated starting with row zero, and the numbers in each row are staggered relative to the numbers in each adjacent row. A simple way of computing the triangle’s numbers is as follows. On row zero, write only the number one. Then for the following rows, add the number directly above and to the left with the number directly above and to the right to find the new value. Basically, each number in the triangle is the sum of the two above. Who do you think discovered it first, and when? The triangle was most thoroughly studied and brought to the mathematical world by the famous French philosopher and mathematician Blaise Pascal. However, it had been described centuries by a Chinese mathematician by the name of Yanghui, as well as the Persian astronomer/poet Omar Khayvam. In fact, in China the “Pascal

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## This note was uploaded on 01/28/2010 for the course JA 4024 taught by Professor Me during the Spring '10 term at École Normale Supérieure.

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Pascals Triangle - H ayden Baldwin January 26, 2010 Period:...

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