Question #151183. Asked by
chabenao1.
Last updated May 31 2024.
Originally posted May 31 2024 5:39 AM.
Pascal's triangle is named for 17th century French mathematician Blaise Pascal. Pascal wrote a treatise on triangles in his 1654 (published 1655) treatise Traité du triangle arithmétique. However, Pascal did not invent the triangle, so it bears different names in other countries.
In algebra and other branches of mathematics, Pascal's triangle is a triangular array of numbers that lists the coefficients of the expansion of any binomial expression (x + y)n, where n is any positive integer and x and y are real numbers. Its construction is simple: the numbers in each row are the sum of the numbers in the preceding row. So, each row begins and ends with the number 1.
How to Use Pascal's Triangle (Binomial Theorem)
The binomial theorem states that the nth row of Pascal's triangle gives the coefficients of the expanded polynomial (x + y)n.
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