- A sequence is an ordered set of (usually) numbers
- Each number in a sequence is called a
**term** - The
**location**of a**term**within a**sequence**is called its**position**- The letter
**n**is often used for (an unknown)**position**

- The letter
- Subscript notation is used to talk about a particular term
**a**would be the_{1}**first**term in a sequence**a**would be the_{7}**seventh**term**a**would be the_{n}**n**term^{th}

- A
**position-to-term**rule gives the**n**term of a sequence in terms of^{th}**n**- This is a very powerful piece of mathematics
- With a position-to-term rule the
**100**term of a sequence can be found without having to know or work out the first 99 terms!^{th}

- A
**term-to-term**rule gives the**(n+1)**term in terms of the^{th}**n**term^{th}- ie
**a**is given in terms of_{n+1}**a**_{n} - If a term is known, the next one can be worked out

- ie

- These can be used to generate a sequence
- From a given sequence the rules can be deduced
- Recognising and being aware of the types of sequences helps
- Linear and quadratic sequences
- Geometric sequences
- Fibonacci sequences
- Other sequences

- Write the position numbers above (or below) each term in a sequence
- This will make it much easier to recognise and spot common types of sequence

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