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A212-2 binomial thm
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A212-2 binomial thm

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Transcript

  • 1. The Binomial Theorem
    The Binomial Theorem
    Algebra 2
    12-2
    p. 710
  • 2. Pascal’s Triangle
    If you arrange the values of “n choose k” in a triangular pattern, and each row has the next value of n, you get Pascal’s triangle.
  • 3. Pascal’s Triangle
    1
    1 1
  • 4. Pascal’s Triangle
    1
    1 1
    1 2 1
  • 5. Pascal’s Triangle
    1
    1 1
    1 2 1
    1 3 3 1
  • 6. Pascal’s Triangle
    1
    1 1
    1 2 1
    1 3 3 1
    1 4 6 4 1
    1 5 10 10 5 1
    1 6 15 20 15 6 1
  • 7. The Binomial Theorem
    The coefficients of (a + b)n are the elements of the nth term of Pascal’s Triangle.
  • 8. The Binomial Theorem
    The coefficients of (a + b)n are the elements of the nth term of Pascal’s Triangle.
    The exponent of adecreaseseach term from n to 0.
  • 9. The Binomial Theorem
    The coefficients of (a + b)n are the elements of the nth term of Pascal’s Triangle.
    The exponent of adecreaseseach term from n to 0.
    The exponent of b increaseseach term from 0 to n.
  • 10. Sigma Notation

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