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 βun+1ββunβ=d, the common difference, for all βn. For example,
is arithmetic, but
is not since β9β5=4ξ =5β2=3.
The βnthβ term in an arithmetic sequence is given by
where βu1ββ is the first term and βdβ is the common difference.