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31 Cards in this Set
- Front
- Back
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A sequence formed by repeated addition
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Arithmetic
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A sequence formed by repeated multiplication
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Geometric
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The rate of change of an arithmetic sequence
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Common Difference
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The rate of change of a geometric sequence
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Common ratio
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Any list of numbers that follows a pattern
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Sequence
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The sum of any list of numbers that follow a pattern
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Series
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An input value in a recursively defined sequence that outputs the identical value
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Fixed point
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The intersection of the graph of a recursively defined sequence and the graph of t(n) = t(n-1)
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Fixed point
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A point that the terms of the sequence approach as the term number approaches infinity
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Attracting Point
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A point that the terms of the sequence move away from as the term number approaches infinity
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Repelling Point
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A sequence that moves closer to a finite value as the term number approaches infinity without alternating signs
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Stairsteps In
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A sequence that moves closer to a finite value as the term number approaches infinity while alternating signs
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Spirals In
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A sequence that has terms which increase in magnitude without alternating signs as the term number approaches infinity
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Stairsteps Out
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A sequence that has terms which increase in magnitude while alternating signs as the term number approaches infinity
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Spirals Out
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A sequence that has a list of terms which repeat as the term number approaches infinity
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Cyclical
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A sequence that has terms which neither approach a finite value, consistently increase in magnitude or repeat in a cycle as the term number approaches infinity
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Random
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A symbol used to denote a series or evaluate it for a set number of terms
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Sigma
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What is the limit of a sequence whose terms constantly increase a a steady rate?
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Infinity
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What is the limit of a sequence whose terms constantly increase a a steady rate?
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Infinity
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What is the limit of a sequence whose terms constantly increase a a increasing rate?
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Infinity
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What is the limit of a sequence whose terms constantly increase a a decreasing rate?
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Finite Limit
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Describe the limit of an arithmetic sequence with d > 0
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Positive Infinity
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Describe the limit of an arithmetic sequence with d < 0
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Negative Infinity
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Describe the limit of a geometric sequence with r > 1
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Positive Infinity
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Describe the limit of a geometric sequence with r < -1
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No Limit
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Describe the limit of a geometric sequence with -1 < r < 1
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Zero
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Describe the limit of a geometric series with -1 < r < 1
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Finite Limit
(a number value) |
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Describe the limit of a geometric series with r > 1
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Positive Infinity
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Describe the limit of a geometric series with r <-1
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No Limit
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Describe the limit of an arithmetic series with d > 0
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Positive Infinity
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Describe the limit of an arithmetic series with d < 0
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Negative Infinity
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