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How is the pascal triangle and the binomial expansion related?
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.
Examples of Pascals triangle?
Pascal's triangle
What are some cool fact on pascals triangle?
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.
Who first named the triangle pascals triangle?
pascal
What is the 5th row on pascals triangle?
1,4,6,4,1
How is the pascal triangle and the binomial expansion related?
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.
Examples of Pascals triangle?
Pascal's triangle
What are some cool fact on pascals triangle?
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.
Who first named the triangle pascals triangle?
pascal
What are the multiples of 5 within pascals triangle?
The Sierpinski Triangle
How are Predation coefficients relate the number?
Predation coefficients relate the number of prey killed to the production of predator offspring.
In what situation can we use pascals triangle?
pascals triangle is used to solve math problems that have chance of 2 different outcomes, such as flipping a coin
When was pascals triangle discovered?
in the 11th century...
What are the examples of pascals triangle?
(a+b)7
What is the 5th row on pascals triangle?
1,4,6,4,1
What is the answer to 7C3 using pascals triangle?
35
Who is pascals triangle named after?
Blaise Pascal.
