sequences

sequences

1. finding the nth term in a linear sequence

   • a linear sequence is a sequence that always has a common difference, in order to find the nth term you find the common difference, work out what to add or subtract, put both bits together

2. finding the nth term in a quadratic sequence

   • a quadratic sequence has an n² and the differences between the differences are the same every time
     • to find the nth term you have to find the differences between each pairs of terms, the difference is changing so you work out the differences between the differences. Then divide this value by 2 to give the coefficient of the n² term. Then subtract the n² term from from each term in the sequence to give a linear sequence. Then find the rule of the nth term of the linear sequence and add this on to the n² term

3. deciding if a term is in a sequence

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