Pascals triangle

Mathematics

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Answer

Pascal's triangle is a triangular array of binomial coefficients. Each number is the sum of the two numbers directly above it.

Here's the beginning of Pascal's triangle:

    1  
   1 1  
  1 2 1  
 1 3 3 1  
1 4 6 4 1  

1 5 10 10 5 1

The numbers in the triangle correspond to the coefficients in the expansion of binomials. For example, the row 1 4 6 4 1 gives the coefficients for (x + y)⁴: 1x⁴ + 4x³y + 6x²y² + 4xy³ + 1y⁴.

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