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Mathematical Sequences Quiz

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What is the defining characteristic of a sequence compared to a set?

Repetitions are not allowed and order matters

Repetitions are not allowed and order does not matter

Repetitions are allowed and order does not matter

Repetitions are allowed and order matters (correct)

How can a sequence be formally defined?

As a function from natural numbers to the positions of elements

As a function from positions of elements to natural numbers

As a function from elements to natural numbers

As a function from natural numbers to the elements at each position (correct)

What distinguishes a sequence from an indexed family?

A sequence contains members, while an indexed family contains elements

A sequence is a function from natural numbers to the elements at each position, while an indexed family is a function from an arbitrary index set (correct)

A sequence can be finite or infinite, while an indexed family is always infinite

A sequence allows repetitions, while an indexed family does not

Which of the following examples illustrates a valid sequence?

<p>(1, 1, 2, 3, 5, 8)</p> Signup and view all the answers

In a sequence, can the same elements appear multiple times at different positions?

<p>Yes, the same elements can appear multiple times at different positions</p> Signup and view all the answers

Mathematical Sequences Quiz

Choose a study mode

Podcast

Questions and Answers

What is the defining characteristic of a sequence compared to a set?

How can a sequence be formally defined?

What distinguishes a sequence from an indexed family?

Which of the following examples illustrates a valid sequence?

In a sequence, can the same elements appear multiple times at different positions?

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