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The binomial triangle is also known as Pascal's triangle (see Wikipedia link).
To generate the triangle, write a pair of 1s in the first line.
In the next line write a 1 under and to the left of the 1 in the line above.
Then underneath two of the numbers in the line above, write their sum.
Finish with a 1 to the right of the 1 in the line above.
Keep repeating the last three steps for the next line.
If you refer to the line with the pair of 1s as line 1, then the nth line, read across, gives the coefficients for the expansion of the binomial (1+x)n. The last bit explains the name of the triangle.
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What is another name for pascals triangle?
The expanded binomial is another name for Pascal's triangle.
What is the significance of Pascal's triangle?
It generates binomial coefficients.
What is the relationship between Pascal triangle and binomial theorem?
The coefficients of the binomial expansion of (1 + x)n for a positive integer n is the nth row of Pascal's triangle.
What does pascals triangle relate the coefficients to?
Expansion of the Binomial a+b
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.
What is another name for pascals triangle?
The expanded binomial is another name for Pascal's triangle.
What is the significance of Pascal's triangle?
It generates binomial coefficients.
What is the relationship between Pascal triangle and binomial theorem?
The coefficients of the binomial expansion of (1 + x)n for a positive integer n is the nth row of Pascal's triangle.
What does pascals triangle relate the coefficients to?
Expansion of the Binomial a+b
What are the applications of pascal's triangle?
For binomial expansions. (When you have to multiply out many brackets, binomial expansion speeds things up greatly).
Math word that bengins with the letter b?
· base of a triangle · binomial · bisect
What are the possibilaties of Pascals Triangle?
to find out the coefficent for binomial expression, to check values like nCr
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.
What triangle was Blaise Pascal credited for?
Pascal continued to influence mathematics throughout his life. His Traité du triangle arithmétique ("Treatise on the Arithmetical Triangle") of 1653 described a convenient tabular presentation for binomial coefficients, now called Pascal's triangle.
What is the purpose of Pascal's triangle?
The Pascal's triangle is used partly to determine the coefficients of a binomial expression. It is also used to find the number of combinations taken n at a time of m things .
Discovered Pascal's triangle and binomial expansion before Pascal?
blaise pascal didn't discover Pascal's Triangle the Persians and Chinese discovered it.
Is this number a monomial or binomial or trinomial 30x6-1?
Binomial. Binomial. Binomial. Binomial.
