GCSE Maths (Edexcel)

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Special Sequences

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Algebra Sequences

Special Sequences

3:57 Introduction to Sequences
Spec A24
  • A sequence can be formed of square or cube numbers
  • The nth term of a sequence of square numbers is n squared
  • The nth term of a sequence of cube numbers is n cubed
  • Triangle numbers are a sequence where the difference between two terms is one more than the difference between the previous terms
  • The first term of triangle numbers is 1, and each subsequent term is obtained by adding one more than the previous number
  • Triangle numbers can be visualized as the numbers needed to make larger and larger triangles
  • The Fibonacci numbers are a sequence where the next term is found by adding together the previous two terms
  • The Fibonacci sequence can start with either 0, 1 or 1, 1
  • The Fibonacci numbers are linked to the golden ratio and golden spiral, which appear frequently in nature and architecture

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