Q: What does pascals triangle relate the coefficients to?

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If the top row of Pascal's triangle is "1 1", then the nth row of Pascals triangle consists of the coefficients of x in the expansion of (1 + x)n.

Pascal's triangle is a triangular array where each number is the sum of the two numbers above it. The numbers in the triangle have many interesting patterns and relationships, such as the Fibonacci sequence appearing diagonally. Additionally, the coefficients of the binomial expansion can be found in Pascal's triangle, making it a useful tool in combinatorics and probability.

Pascal's triangle

pascal

Pascal didn't invent pascals triangle, he just made It popular. A Chinese mathematician invented it in about 1015.

Related questions

If the top row of Pascal's triangle is "1 1", then the nth row of Pascals triangle consists of the coefficients of x in the expansion of (1 + x)n.

Pascal's triangle is a triangular array where each number is the sum of the two numbers above it. The numbers in the triangle have many interesting patterns and relationships, such as the Fibonacci sequence appearing diagonally. Additionally, the coefficients of the binomial expansion can be found in Pascal's triangle, making it a useful tool in combinatorics and probability.

Pascal's triangle

pascal

Predation coefficients relate the number of prey killed to the production of predator offspring.

The Sierpinski Triangle

pascals triangle is used to solve math problems that have chance of 2 different outcomes, such as flipping a coin

Pascal's triangle is a convenient listing of the coefficients obtained from raising a binomial to a whole number power. The triangle begins with 1 in the first row, 1,2,1 in the second, 1,3,3,1 in the third, 1, 4,6,4,1 in the fourth row and so on. These numbers represent the coefficients of (x+y)^ 0, (x+y)^1, (x+y)^2, (x+y)^3 and (x+y)^4.

Pascal didn't invent pascals triangle, he just made It popular. A Chinese mathematician invented it in about 1015.

in the 11th century...

(a+b)7

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