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Questions and Answers
What is the defining feature of a sequence that distinguishes it from a set?
What is the defining feature of a sequence that distinguishes it from a set?
- Repetitions are not allowed but order matters
- Repetitions are allowed and order matters (correct)
- Repetitions are not allowed and order does not matter
- Repetitions are allowed but order does not matter
What is an example of a valid sequence?
What is an example of a valid sequence?
- (3, 6, 9, 12, 15)
- (1, 1, 2, 3, 5, 8) (correct)
- (2, 4, 6, 8, 10)
- (1, 2, 3, 4, 5, 6)
How can a sequence be formally defined?
How can a sequence be formally defined?
- As a function from elements to natural numbers
- As a function from natural numbers to the positions of elements
- As a set of elements with specific positions
- As a function from natural numbers to the elements at each position (correct)
What is the length of a sequence?
What is the length of a sequence?
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How does a sequence differ from an indexed family?
How does a sequence differ from an indexed family?
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How can a sequence be defined formally?
How can a sequence be defined formally?
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What distinguishes a sequence from a set?
What distinguishes a sequence from a set?
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What is the defining characteristic of a valid sequence?
What is the defining characteristic of a valid sequence?
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How does an indexed family differ from a sequence?
How does an indexed family differ from a sequence?
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What is a valid example of a sequence?
What is a valid example of a sequence?
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