Nth Term
In this chapter we’re going to explore Nth term. Your will understand the terminology used in sequence questions and then be able to work out the formula for the nth tem of simple arithmetic sequences. You will learn how to [...]
Quadratic Sequences
In this chapter we’re going to be looking at quadratic sequences. We shall explore how to find the nth term of a quadratic sequence. Here is a sequence; The differences between these terms in the sequences are not equal. This [...]
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 long time and cause lot’s of [...]
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 notation or formula; You might be [...]
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 is a geometric series; 3+6+12+24+48+… The [...]
Arithmetic progression/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 first few numbers within a given [...]
Types of Sequences
A sequence is an ordered list of numbers or objects. There must be a pattern in the way these numbers or objects are organised. We usually refer to this pattern as a common difference or ratio. In this revision I [...]