explain pascal triangle
Answers
Answer:
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, China, Germany, and Italy.
Pascal's triangle can be used to determine the expanded pattern of coefficients. The first few expanded polynomials are given below. Using summation notation, the binomial theorem may be succinctly written as: The binomial theorem written out in summation notation.
Patterns In Pascal's Triangle. Pascal's Triangle is a symmetric triangle. This means that each number occurring on the left side of the triangle also occurs on the right side. In the second diagonal, the square of each number is equal to the number next to it plus the number below it.
Pascal's triangle. Pascal's triangle, in algebra, a triangular arrangement of numbers that gives the coefficients in the expansion of any binomial expression, such as (x + y)n. It is named for the 17th-century French mathematician Blaise Pascal, but it is far older.
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. It is named after the 1 7 th 17^\text{th} 17th century French mathematician, Blaise Pascal (1623 - 1662).
Hipparchus, credited with compiling the first trigonometric table, has been described as "the father of trigonometry".