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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=4=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.