Mastering Mathematical Sequences

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Questions and Answers

Which of the following statements about sequences is true?

  • Sequences can be defined as a function from natural numbers to the elements at each position (correct)
  • The order of elements in a sequence does not matter
  • The length of a sequence is always finite
  • Sequences can only contain unique elements

What is the main difference between a set and a sequence?

  • Sets can only contain unique elements, while sequences can have repeated elements (correct)
  • Sets can contain infinite elements, while sequences are always finite
  • Sets can be defined as a function from natural numbers to the elements at each position
  • Sets are ordered collections, while sequences are not

Which of the following is an example of a valid sequence?

  • (A, B, C, A) (correct)
  • (1, 2, 3, 4)
  • (A, B, C, D)
  • (1, 2, 3, 1)

What is the length of the sequence (2, 4, 6, 8, 10)?

<p>5 (D)</p> Signup and view all the answers

Which of the following is an example of an infinite sequence?

<p>(1, 2, 3, 4, ...) (B)</p> Signup and view all the answers

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