Term to Term Rules Flashcards

GCSE Mathematics (Edexcel) 1MA1

Term-to-term rule

A rule that describes how to get from one term in a sequence to the next.

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Terms in this set (10)

1

Term-to-term rule

A rule that describes how to get from one term in a sequence to the next.

2

Arithmetic sequence

A sequence where each term is found by adding or subtracting the same value to the previous term.

3

Common difference

The fixed amount added or subtracted in an arithmetic sequence.

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Geometric sequence

A sequence where each term is found by multiplying or dividing the previous term by the same value.

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Common ratio

The fixed number multiplied or divided in a geometric sequence.

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Example of arithmetic sequence

2, 5, 8, 11 (add 3 each time).

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Example of geometric sequence

3, 6, 12, 24 (multiply by 2 each time).

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Finding the next term in a sequence

Apply the term-to-term rule to the last term in the sequence.

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Difference between arithmetic and geometric sequences

Arithmetic sequences use addition or subtraction, while geometric sequences use multiplication or division.

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Identifying a term-to-term rule

Look at the difference or ratio between consecutive terms in the sequence.

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