Understanding the Binomial Theorem

by Peter Martin Jones

This booklet is designed to give a thorough grounding in the Binomial Theorem. A good understanding in this topic is essential for all those people who wish to go on and study Mathematics and other science subjects like, Physics, Chemistry and Engineering. Often the fundamental concepts like these are frequently not completely understood leading to confusion and often dissatisfaction and can result in people giving up on the subject altogether. This is a shame because such confusion can often be attributed to poor teaching or unexplained misconceptions. This series of booklets sets out to explain fully and clearly every step throughout with everything presented in an easy to understand format through a wide variety of fully worked solutions covering most exam type questions. This booklet is the Binomial Theorem module BN1 and contains the following The Binomial Theorem Pascal’s Triangle Expansions of (1+x)^n Expansions of (a+b)^n Expansions for positive integral values of n Expansions for negative integral values of n Expansions for positive fractional values of n Expansions for negative fractional values of n Expansions using partial fractions Proof by induction of Binomial Theorem Sums of squares of coefficients Expansions of alternating series Greatest term Greatest coefficient 25 fully worked solutions No of 26 Other booklets in this series will be published shortly so keep a lookout for these as they become available.

Kindle Edition

Published August 21, 2017