An arithmetic sequence, also known as an arithmetic progression, is a list of numbers in which the difference between any two consecutive terms is always the same, called the common difference. In GCSE Maths, understanding arithmetic sequences is essential as they provide a foundation for identifying patterns and solving various mathematical problems. For example, in the sequence 2, 5, 8, 11, the common difference is 3, since you add 3 to each term to get to the next one.
The nth term of an arithmetic sequences can be written in the form where
and
are constants.
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