Learn Before
Sequence (Algebra)
A sequence is a function whose domain is restricted to the counting numbers (). Rather than mapping any real-number input to an output, a sequence pairs each counting number with exactly one value. The resulting outputs, called terms, are conventionally listed in order: for example, is a sequence. Each number in this ordered list occupies a specific position determined by its corresponding counting number. A sequence can also be viewed simply as an ordered list of numbers where position matters.
0
1
Tags
OpenStax
Intermediate Algebra @ OpenStax
Ch.12 Sequences, Series and Binomial Theorem - Intermediate Algebra @ OpenStax
Algebra
Related
Determining if a Set of Ordered Pairs is a Function
Vertical Line Test
Cube Function
Square Root Function
Polynomial Function
Zero of a Function
Limit of a Function
Multivariate Function
Function Notation
One-to-One Function
Birthday Analogy for Functions
Exponential Function
Sequence (Algebra)
In a professional data management system, a rule that assigns values from a set of inputs (the domain) to a set of outputs (the range) is classified as a mathematical function if and only if which of the following conditions is met?
In a professional database, a rule that maps each unique employee ID number to an office location is classified as a mathematical function if each employee ID is associated with exactly one office location.
In a professional data management system, maintaining consistent records is vital. Match each term below with its correct mathematical definition to ensure the mapping of data follows the rules of a function.
Data Integrity and Functions
In a corporate data architecture, a mapping is defined as a mathematical function if it assigns to each -value (input) in its domain exactly ____ -value (output) in its range.
Learn After
Infinite Sequence
Finite Sequence
General Term of a Sequence
Arithmetic Sequence
Geometric Sequence
Annuity
Partial Sum
Summation Notation
Factorial Notation
As an inventory analyst, you record the total number of items restocked at the end of each week. You list the totals so that the first week corresponds to position 1, the second week to position 2, and so on. In algebraic terms, this ordered list of values—which can be thought of as a mathematical relationship whose domain is restricted to the counting numbers ()—is formally defined as a:
In a workplace productivity report, a supervisor lists the number of units produced in each consecutive hour of a shift. Algebraically, this ordered list represents a sequence. True or False: An algebraic sequence is formally defined as a function whose domain is restricted to the set of counting numbers ().
A customer service lead tracks the number of calls answered during each hour of an 8-hour shift. Match each algebraic component of this data record with its practical description.
Identifying Components of Sequential Data
A supervisor at a manufacturing plant maintains a production log that lists the number of units completed during each consecutive hour of a shift. This ordered list of data (e.g., ) represents an algebraic sequence. In this context, each individual numerical value in the list is formally referred to as a(n) ____.