In the following triangular table, known as Pascal’s triangle, the entries in the nth row are the binomial coefficients
Observe that each number (other than the ones) is the sum of the two numbers directly above it. For example, in the 5th row, the number 5 is the sum of the numbers 1 and 4 from the 4th row, and the number 10 is the sum of the numbers 4 and 6 from the 4th row. This fact is known as Pascal’s formula. Namely, the formula says that
Use Pascal’s formula to extend Pascal’s triangle to the 12th row. Determine the values of
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Finite Mathematics & Its Applications (12th Edition)
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage