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Calculus
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Series definitions
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Sequence
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Sequence
An ordered list of numbers generated by a specific formula, where each entry corresponds to a particular value of an index.
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이 집합의 용어 (15)
하이드의 정의
Sequence
An ordered list of numbers generated by a specific formula, where each entry corresponds to a particular value of an index.
Term
A single value in an ordered list, found by substituting a specific index into a defining formula.
Index
A variable, often represented by n, that identifies the position of an entry within an ordered list.
Factorial
A product of all positive integers up to a given number, with zero yielding a value of one by definition.
Zero Factorial
A special case in products of consecutive integers, always defined as one, regardless of context.
Formula
A mathematical expression that determines the value of each entry in an ordered list based on its position.
Substitution
The process of replacing a variable in an expression with a specific value to compute a result.
Product
A result obtained by multiplying two or more numbers or expressions together.
Square
A value obtained by multiplying a number by itself, often used in defining patterns in ordered lists.
Natural Number
A positive integer, typically used as the position indicator in ordered mathematical lists.
Pattern
A recognizable regularity in a list of numbers, often revealed by a defining mathematical rule.
Calculation
A step-by-step process of simplifying expressions to determine specific values in a mathematical context.
Expression
A combination of numbers, variables, and operations that represents a specific mathematical idea.
Order
The arrangement of entries in a list according to increasing values of the position indicator.
List
A collection of numbers arranged in a specific sequence, each associated with a unique position.