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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 the significance of Pascal's triangle?
It generates binomial coefficients.
What is another name for pascals triangle?
The expanded binomial is another name for Pascal's triangle.
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.
