0
Pascals triangle is important because of how it relates to the binomial theorem and other areas of mathematics. The binomial theorem tells us that if we expand the equation (x+y)n the result will equal the sum of k from 0 to n of P(n,k)*xn-k*yk where P(n,k) is the kth number from the left on the nth row of Pascals triangle. This allows us to easily calculate the exponential of binomials without ever having to resort to expanding term by term.
In addition, the way that the triangle is constructed allows us to observe that P(n,k) is always equal to nCk or n choose k. While this may not seem important, you often need to calculate combinations in Statistics and Pascals Triangle provides one of the easiest ways to calculate a large number of combinations at once.
Add your answer:
Earn +20 pts
Examples of Pascals triangle?
Pascal's triangle
Who first named the triangle pascals triangle?
pascal
What are the multiples of 5 within pascals triangle?
The Sierpinski Triangle
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 answer to 7C3 using pascals triangle?
35
What is the 5th row on pascals triangle?
1,4,6,4,1
Who is pascals triangle named after?
Blaise Pascal.
Why did Blaise Pascal invent pascals triangle?
Pascal didn't invent pascals triangle, he just made It popular. A Chinese mathematician invented it in about 1015.
What is another name for pascals triangle?
The expanded binomial is another name for Pascal's triangle.
Can You Find triangular numbers in Pascals triangle?
Yes. I think they're in the 3rd diagonal of the triangle. Basically, its how many numbers you need to make a geometrically correct triangle: 1, 3, 6, 10......
