GCSE Maths (Edexcel)
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Advanced Geometric Sequences
- 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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