# Key Terms Chapter 12: Sequences, Series, and Binomial Theorems

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Example and Directions
Words (or words that have the same definition)The definition is case sensitive(Optional) Image to display with the definition [Not displayed in Glossary, only in pop-up on pages](Optional) Caption for Image(Optional) External or Internal Link(Optional) Source for Definition
(Eg. "Genetic, Hereditary, DNA ...")(Eg. "Relating to genes or heredity") The infamous double helix https://bio.libretexts.org/CC-BY-SA; Delmar Larsen
Glossary Entries
common differenceThe difference between consecutive terms in an arithmetic sequence, $$a_n−a_{n−1}$$, is $$d$$, the common difference, for $$n$$ greater than or equal to two.
common ratioThe ratio between consecutive terms in a geometric sequence, $$\frac{a_n}{a_{n−1}}$$, is $$r$$, the common ratio, where $$n$$ is greater than or equal to two.
general term of a sequenceThe general term of the sequence is the formula for writing the $$n$$th term of the sequence. The $$n$$th term of the sequence, $$a_n$$, is the term in the $$n$$th position where $$n$$ is a value in the domain.