GCSE Maths (AQA)

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Arithmetic Sequences

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Algebra Sequences

Arithmetic Sequences

5:17 Arithmetic & Quadratic Sequences
Spec A24
Previous nth Term of an Arithmetic Sequence Next Quadratic Sequences
  • An arithmetic sequence is a sequence where the difference between successive terms is always the same
  • The nth term of an arithmetic sequence is given by the expression an + b, where a and b are constants
  • The nth term rule for a sequence can be found using the general formula an + b
  • The expression 4n + 2 is an example of an nth term rule for an arithmetic sequence
  • To find a specific term in a sequence, substitute the position number (n) into the nth term rule expression
  • The 100th term in the sequence 10n + 6 is 1,006 and the 101st term is 1,016
  • The common difference between the 100th and 101st terms is 10
  • In an arithmetic sequence, the difference between successive terms is the same
  • To find the next terms in an arithmetic sequence, find the common difference and add it to the last term

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