A212-2 binomial thm

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A212-2 binomial thm

  1. 1. The Binomial Theorem<br />The Binomial Theorem<br />Algebra 2<br />12-2<br />p. 710<br />
  2. 2. Pascal’s Triangle<br />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.<br />
  3. 3. Pascal’s Triangle<br />1<br />1 1<br />
  4. 4. Pascal’s Triangle<br />1<br />1 1<br />1 2 1<br />
  5. 5. Pascal’s Triangle<br />1<br />1 1<br />1 2 1<br />1 3 3 1<br />
  6. 6. Pascal’s Triangle<br />1<br />1 1<br />1 2 1<br />1 3 3 1<br />1 4 6 4 1<br />1 5 10 10 5 1<br />1 6 15 20 15 6 1<br />
  7. 7. The Binomial Theorem<br />The coefficients of (a + b)n are the elements of the nth term of Pascal’s Triangle.<br />
  8. 8. The Binomial Theorem<br />The coefficients of (a + b)n are the elements of the nth term of Pascal’s Triangle.<br />The exponent of adecreaseseach term from n to 0.<br />
  9. 9. The Binomial Theorem<br />The coefficients of (a + b)n are the elements of the nth term of Pascal’s Triangle.<br />The exponent of adecreaseseach term from n to 0.<br />The exponent of b increaseseach term from 0 to n.<br />
  10. 10. Sigma Notation<br />

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