Sum to infinity geometric series
This is continuation from the geometric series chapter. This section explores geometric series. To explain sum to infinity consider the following series; For the series above no matter how many terms of the series...
Category: Sequences
Geometric Sequence and Series
This article explores geometric sequences and series. It covers how to recognise a geometric sequence and series, finding common ratio, calculating the nth term of a geometric sequence, finding the sum of a geometric...
Quadratic Sequences
This article explores quadratic sequences. We shall explore how to find the nth term of a quadratic sequence and workout the terms in a sequence given the nth term. Baisc knowledge of sequences will...
Pascal’s Triangle
Expanding very large powered numbers can be quite tedious, since the expansion requires a lot of expanding over and over again. For example trying to expand (x+1)5 and (x+1)7, this would take a very...
Binomial Expansion
This is a continuation from the Pascal’s triangle lesson. It would be good for your benefit to go through it before attempting this. The numbers in Pascal’s triangle can be generated using the following...
Geometric progression/sequences
A geometric series or progression is a series where each term is found by multiplying the previous term before it by a constant number. This constant number is called the common ratio (r). Here...
Arithmetic sequences
An arithmetic progression or arithmetic sequence is simply a sequence of numbers with a common difference and this common difference has to be constant. In most cases you will have a set of the...
Types of Sequences
sequenceA sequence is an ordered list of numbers or objects. There must be a pattern in the way these numbers or objects are organised. In mathematics this pattern is called a common difference or...