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

- Page ID
- 102259

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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 |
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(Eg. "Genetic, Hereditary, DNA ...") | (Eg. "Relating to genes or heredity") | The infamous double helix | https://bio.libretexts.org/ | CC-BY-SA; Delmar Larsen |

Word(s) | Definition | Image | Caption | Link | Source |
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annuity | An annuity is an investment that is a sequence of equal periodic deposits. | ||||

arithmetic sequence | An arithmetic sequence is a sequence where the difference between consecutive terms is constant. | ||||

common difference | The 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 ratio | The 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. | ||||

finite sequence | A sequence with a domain that is limited to a finite number of counting numbers. | ||||

general term of a sequence | The 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. | ||||

geometric sequence | A geometric sequence is a sequence where the ratio between consecutive terms is always the same | ||||

infinite geometric series | An infinite geometric series is an infinite sum infinite geometric sequence. | ||||

infinite sequence | A sequence whose domain is all counting numbers and there is an infinite number of counting numbers. | ||||

partial sum | When we add a finite number of terms of a sequence, we call the sum a partial sum. | ||||

sequence | A sequence is a function whose domain is the counting numbers. |