Patterns
A sequence is a set of numbers that are connected in some way. In this section, we will learn how to recognise different types of sequences, extend a number or diagrammatic pattern and determine its formula.
A sequence is a list of numbers. The numbers are called the terms of the sequence.
There are many well-known sequences of numbers which you should be able to recognise.
Even numbers
\(2,\,4,\,6,\,8,\,10,\,12...\)
Odd numbers
\(1,\,3,\,5,\,7,\,9,\,11...\)
Square numbers
\(1,\,4,\,9,\,16,\,25,\,36,\,49,\,64...\)
(\(1\times 1,\ 2\times2,\ 3\times3\)...)
Cube numbers
\(1,\,8,\,27,\,64,\,125...\)
(\(1 \times 1 \times 1\), \(2 \times 2 \times 2\), \(3 \times 3 \times 3\)...)
Powers of 2
\(2,\,4,\,8,\,16,\,32,\,64...\)
Powers of 10
\(10,\,100,\,1000,\,10000,\,100000,\,1000000...\)
Triangle numbers
\(1,\,3,\,6,\,10,\,15,\,21,\,28...\)
