dad 2002

 

Binomial Expansion

Binomial Series Introduction

Binomial Series
Introduction

When we expand a power of a binomial expression we get a polynomial which can be considered as a series. It is not an arithmetic or geometric one but there is definitely a pattern.
eg.



The same pattern occurs in each row.


1. The expansion or series contains (n+1) terms

2. The powers of x (the 1st term ) decrease by 1 in each successive term

3. The powers of y (the second term) increase by 1 in each successive term

4. The sum of the indices add up to n in each term