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Questions and Answers
What distinguishes a sequence from a set?
What distinguishes a sequence from a set?
- A sequence can only have finite elements while a set can be infinite
- A sequence can only contain numbers while a set can contain any type of element
- Repetitions are allowed in a sequence but not in a set
- Order matters in a sequence but not in a set (correct)
How is a sequence formally defined?
How is a sequence formally defined?
- As a function from an arbitrary index set to the natural numbers
- As a set containing members with repetitions allowed
- As a collection of objects with a specific length
- As a function from natural numbers to the elements at each position (correct)
Which of the following is a valid sequence?
Which of the following is a valid sequence?
- (2, 4, 6, 8, 10)
- (1, 3, 5, 7, 9)
- (1, 1, 2, 3, 5, 8) (correct)
- (1, 2, 3, 4, 5, 6)
What is the defining characteristic of an indexed family?
What is the defining characteristic of an indexed family?
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What is the length of a sequence?
What is the length of a sequence?
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