GCSE Maths (AQA)

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Advanced Geometric Sequences

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Algebra Sequences

Advanced Geometric Sequences

5:59 Geometric Sequences
Spec A24
  • Geometric sequences can be written with a third as a common ratio
  • The square root of 2 is an example of a common ratio in a geometric sequence
  • Multiplying by the square root of 2 gives the next term in the sequence
  • ERDs (Exponential Recursive Definitions) can be used to find the next terms in a geometric sequence
  • The first four terms of a geometric sequence with a common ratio of a third can be found by substituting values of n into the formula
  • The square root of a times the square root of a is equal to a
  • The common ratio can be found by dividing two successive terms in the sequence
  • Dividing the other two successive terms should give the same common ratio
  • Rationalizing the denominator involves multiplying both the top and bottom by the square root of 3
  • The common ratio can be confirmed by multiplying the second term by the same number as the first term

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