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Answers
Step-by-step explanation:
One of the most interesting Number Patterns is Pascal's Triangle (named after Blaise Pascal, a famous French Mathematician and Philosopher).
To build the triangle, start with "1" at the top, then continue placing numbers below it in a triangular pattern.
hi mate,
Pascals Triangle. more ... Pascal's Triangle is a triangle of numbers where each number is the two numbers directly above it added together (except for the edges, which are all "1"). Here we have highlighted that 1+3 = 4. It has many interesting and useful number patterns within it.
Outside of probability, Pascal's Triangle is also used for: Algebra, where coefficient of polynomials can be used to find the numbers in Pascal's triangle.
In mathematics, Pascal's triangle is a triangular array of the binomial coefficients. In much of the Western world, it is named after the French mathematician Blaise Pascal, although other mathematicians studied it centuries before him in India, Persia (Iran), China, Germany, and Italy
Each number is the numbers directly above it added together.
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Each line is also the powers (exponents) of 11:
110=1 (the first line is just a "1")
111=11 (the second line is "1" and "1")
112=121 (the third line is "1", "2", "1")
etc!
Pascal's triangle is a triangular array constructed by summing adjacent elements in preceding rows. Pascal's triangle contains the values of the binomial coefficient. ... Pascal's triangle can be used to visualize many properties of the binomial coefficient and the binomial theorem.
Outside of probability, Pascal's Triangle is also used for: Algebra, where coefficient of polynomials can be used to find the numbers in Pascal's triangle. ... Triangular numbers are the “dots” that make up a triangle. For example, you can make a very simple triangle from 3 dots, one at each corner angle.
Due to the way numbers are arranged, it is possible to find several properties among them. Those properties are useful in some mathematical calculations and they were used in ancient times to calculate the square or cubic roots, or more recently in the rule of probabilities.
i hope it helps you.