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Number Sequences - Square, Cube and Fibonacci. Common Number Patterns. Numbers can have interesting patterns. Here we list the most common patterns and how they are made. Arithmetic Sequences. An Arithmetic Sequence is made by adding the same value each time. Example: 1, 4, 7, 10, 13, 16, 19, 22, 25, ...
Recognise and use sequences of triangular, square and cube numbers, simple arithmetic progressions, Fibonacci Sequences, quadratic sequences, and simple geometric progressions. Generate terms of a sequence from either a term-to-term or a position-to-term rule.
This simple to start but challenging to complete worksheet centres on sequence squares - a series of grids that incorporate various nth term rules in vertical and horizontal sequences.
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There are some special sequences that you should be able to recognise. The most important of these are: Square numbers: 1, 4, 9, 16, 25, 36, … - the nth term is \(n^2\).
The sequence of square numbers, 1, 4, 9, 1 6, 2 5, … , is made up of squares of integers. A square is a number multiplied by itself. 1 ⋅ 1 = 1, The first number of the sequence is the square of 1, which is 1 2 = 1. 2 ⋅ 2 = 4, the second number if the sequence is the square of 2, which is 2 2 = 4.
There are several types of sequences in math such as arithmetic sequences, quadratic sequences, geometric sequences, triangular sequences, square number sequences, cube number sequences, and triangular number sequences. Let us learn each of the sequences in detail in the upcoming sections.
A Rule. A Sequence usually has a Rule, which is a way to find the value of each term. Example: the sequence {3, 5, 7, 9, ...} starts at 3 and jumps 2 every time: As a Formula. Saying " starts at 3 and jumps 2 every time " is fine, but it doesn't help us calculate the: 10 th term, 100 th term, or. nth term, where n could be any term number we want.
