GCSE Maths (Edexcel)
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Term-to-Term Expressions
- A sequence is a series of numbers that follow a particular rule
- The nth term of a sequence can be represented by an algebraic variable, often denoted as un
- Algebraic notation is useful for writing term to term rules in a sequence
- Term to term rules show the relation between terms in a sequence and can be used to find the next term
- Examples of term to term rules include adding two to each term or multiplying each term by a constant
- Writing terms as algebraic variables is particularly useful for describing sequences that cannot be easily described otherwise
- The Fibonacci sequence can be represented using the formula un = un-1 + un-2
- The number of viewers in a series can be modeled using the formula VN = 5(VN-1) - VN-2
- Substituting values into the formula allows us to calculate the values of specific terms in the sequence
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