Sequences (Year 10 Foundation)

Sequences: A list of numbers or objects in a special order.   

Term: In Algebra a term is either a single number or variable, or numbers and variables multiplied together.  

nth term: The nth term refers to the position of a term in a sequences. The 'n' stands for its number/ position in the sequence.

Triangular numbers: A number that can make a triangular dot pattern.

Square numbers: A square number is the number we get after multiplying an integer by itself. 

Cube numbers: A cube number is found when we multiply and integer (whole number) by itself and the itself again. (e.g. 4 x 4 x 4 = 64 and 64 is a cubed number)

Arithmetic progression: is an ordered set of numbers that have a common difference between each consecutive term. (also known as arithmetic sequence. For example: 3, 7, 11, 15..., the common difference is 4)

Fibonacci Sequence: is the series of numbers found by adding up the two numbers before it. (e.g. 0, 1, 1, 2, 3, 5, 8, 13....)

Linear Sequences: A linear sequence goes from one term to the next by always adding (or subtracting) the same value)            

Quadratic Sequence: is an ordered set of numbers that follow a rule based on the sequence n2 = 1, 4, 9, 16, 25,…  (square numbers)

Geometric Sequence: is an ordered set of numbers that progresses by multiplying or dividing each term by a common ratio.