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Arithmetic Sequences
Introduction to the definition, properties, and general term of an arithmetic sequence
Introduction to the definition, properties, and general term of an arithmetic sequence
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A sequence is arithmetic if the difference between consecutive terms is constant, ie ​un+1​−un​=d, the common difference, for all ​n. For example,
is arithmetic, but
is not since ​9−5=4î€ =5−2=3.
The ​nth​ term in an arithmetic sequence is given by
where ​u1​​ is the first term and ​d​ is the common difference.