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Intermediate Algebra
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Introduction to Sequences definitions
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Sequence
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Sequence
A function mapping positive integers to numbers, forming a list that can model patterns and predict values.
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Introduction to Sequences quiz
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Writing a General Formula Example 6
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Writing a General Formula Example 5
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Intro to Sequences Example 2
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이 집합의 용어 (15)
하이드의 정의
Sequence
A function mapping positive integers to numbers, forming a list that can model patterns and predict values.
Domain
The set of positive integers used as input values for generating terms in a sequence.
Index
A positive integer representing the position of a term within a sequence, often denoted by n.
Term
An output value in a sequence, determined by substituting the index into the general formula.
General Term
An expression involving the index that defines how each term in a sequence is calculated.
Explicit Formula
An equation that directly relates the index to the value of each term in a sequence.
Finite Sequence
A list of terms with a limited number of values, ending at a specific index.
Infinite Sequence
A list of terms that continues indefinitely, with no upper bound on the index.
Arithmetic Progression
A sequence where each term increases or decreases by a constant difference from the previous term.
Geometric Progression
A sequence where each term is obtained by multiplying the previous term by a constant factor.
Exponent
A mathematical notation indicating repeated multiplication, often used in geometric sequences.
Numerical Coefficient
A constant multiplied by the index or other expressions in the general term of a sequence.
Alternating Sign
A pattern in a sequence where the sign of each term switches between positive and negative.
Fraction
A term in a sequence expressed as a ratio of two numbers, often involving patterns in numerator and denominator.
Pattern
A recognizable regularity in the arrangement of terms within a sequence, guiding formula creation.