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