Download presentation
Presentation is loading. Please wait.
1
Binomial Theorem 1 2 3 Pascal’s Triangle
Constructing Pascal’s Triangle 3 Example
2
Pascal’s Triangle Expanding the Powers of b+g
3
Coefficients of Pascal’s Triangle
4
Coefficients of Pascal’s Triangle
Observations for Each Row in the form of (a+b)n There are n+1 terms n is the exponent of a in the first term and the exponent of b in the last term In each term, the exponent of a decreases by one and the exponent of b increases by one The sum of the exponents in each term is n The coefficients are symmetric. They increase at the beginning and decrease at the end
5
Constructing Pascal’s Triangle
Each number in the triangle is the sum of the two directly above it.
6
Sums of the Rows of Pascal’s Triangle
7
Binomial Theorem Example
Expand (2x+y)5 Remember Pascal’s Triangle for (a+b)5 Follow the pattern of the exponents Simplify
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.