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Pascal's Triangle

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by

Aaron Miller

on 2 December 2014

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Transcript of Pascal's Triangle

Pascal's Triangle
Aaron Miller
Mr. Armour, 3rd period
AMDM
11 November 2014


Although Pascal was named after this triangle he wasn't the one to come up with it either.
This Triangle has a higher dimension out of any triangle.
This Triangle is also
symmetrical. The numbers on the left side have identical matching numbers on the right side, like a mirror image.
Pascal's Triangle can show you
how many ways heads and tails
can combine. This can show you the probability of any combination. For example, if you toss a coin 3 times, there is only one combination that will give you three heads (HHH) but there are three that will give you 2 heads and a tail (HHT,HTH,THH,), also three that give one head and two tails (HTT,THT,TTH), and for all tails (TTT). This is the patter "1,3,3,1" in Pascal's Triangle.
Heads and Tails
This set of numbers that form
this triangle were known
before pascal the numbers
originally came from indian
studies of combinatorics
and binomial numbers.

There are also an interesting pattern in the triangle dealing with prime numbers. For any prime numbered row, or row where the 1st element is a prime number, all the numbers in that row (excluding the 1's) are divisible by prime.
Blaise Pascal was born
June 19, 1623. He was a French Mathematician, physicist, inventor, writer, and a philosopher. Pascal triangle was named after him.
Sadly, Blaise Pascal became extremely ill and died on August 19, 1662, but his work will live forever.
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