GCSE Maths (AQA)

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nth Term of an Arithmetic Sequence

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Algebra Sequences

nth Term of an Arithmetic Sequence

5:51 Geometric, Arithmetic & Quadratic Sequences
Spec A25
Previous Advanced Geometric Sequences Next Arithmetic Sequences
  • An arithmetic sequence is a series of numbers with the same difference between successive terms
  • The nth term of an arithmetic sequence can be found by multiplying the common difference by n and adding a constant
  • The constant is found by comparing a term to the value of the expression for the nth term
  • The same method can be applied to word problems involving arithmetic sequences
  • In a word problem example, Adrian saves ��3.50 each month and starts with ��20, so the expression for his savings after n months is 3.5n + 20
  • After 7 months, Adrian will have saved ��44.50

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