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Introduction to Power 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 a variable.
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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 a variable.
Term
A single entry in an ordered list, calculated by substituting a specific value into a given formula.
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 mathematics where the product of no numbers is defined as one.
Formula
A mathematical expression that provides a rule for calculating each entry in an ordered list.
Index
A variable, often represented by n, that identifies the position of an entry within an ordered list.
Substitution
The process of replacing a variable in a mathematical expression with a specific value to compute a result.
Power
A mathematical operation involving repeated multiplication of a number by itself, as seen in squared values.
Product
The result of multiplying two or more numbers or expressions together.
Natural Number
A positive integer used to count positions or calculate entries in ordered lists.
Ordered List
A collection of numbers arranged in a specific sequence, each associated with a unique position.
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 mathematical relationship.
Position
The specific place of an entry within an ordered list, typically determined by the index.
Value
A numerical result obtained after performing all required operations in a mathematical expression.