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Term to Term Rules Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Term-to-term rule
A rule that describes how to get from one term in a sequence to the next.
Arithmetic sequence
A sequence where each term is found by adding or subtracting the same value to the previous term.
Common difference
The fixed amount added or subtracted in an arithmetic sequence.
Geometric sequence
A sequence where each term is found by multiplying or dividing the previous term by the same value.
Common ratio
The fixed number multiplied or divided in a geometric sequence.
Example of arithmetic sequence
2, 5, 8, 11 (add 3 each time).
Example of geometric sequence
3, 6, 12, 24 (multiply by 2 each time).
Finding the next term in a sequence
Apply the term-to-term rule to the last term in the sequence.
Difference between arithmetic and geometric sequences
Arithmetic sequences use addition or subtraction, while geometric sequences use multiplication or division.
Identifying a term-to-term rule
Look at the difference or ratio between consecutive terms in the sequence.

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