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Lesson 's Glossary: Arithmetic
Sequence: A sequence in which the difference between any two
consecutive terms is a constant.
Arithmetic series: For an arithmetic
sequence, the indicated sum of the terms.
Common difference The different between
two consecutive terms of an arithmetic sequence.
Common ratio: The ratio between two
consecutive terms in a geometric sequence.
Converge: For an infinite geometric
series to converge it is necessary that |r|<1, where r is the
common ration of the sequence in question.
Diverge: Given an infinite geometric
series, this diverges if |r|³1,
where r is the common ratio of the
sequence in question.
Geometric
Sequence: A series of numbers for which each consecutive number is
the previous one times a constant known as common ratio.
Geometric series:
Given the terms of a geometric series; the geometric series is the
indicated sum of the terms.
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