GCSE Maths (AQA)

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Algebra Sequences

The nth Term

4:02 Introduction to Sequences
Spec A23
Previous Introduction to Sequences Next Special Sequences
  • A sequence is a series of numbers that follows a pattern
  • The nth term of a sequence is an algebraic expression that gives the value of a term based on its position
  • The nth term can sometimes be determined using a rule involving n
  • In some sequences, each term is worked out by squaring its position in the sequence
  • The nth term rule allows us to find any term in the sequence without knowing the previous terms
  • Not every sequence can be easily described using an nth term rule
  • To find a specific term in a sequence, substitute the value of n into the given expression
  • Cube numbers are numbers that can be expressed as the cube of an integer
  • In a sequence of cube numbers, each term is obtained by cubing one more than its position in the sequence
  • The expression for the nth term in a sequence of cube numbers is (n + 1) cubed

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