Understanding Sequences in Mathematics
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Questions and Answers

What is the defining characteristic of a sequence?

  • It consists of a set of numbers.
  • It involves the sum of elements.
  • It has a first and last term. (correct)
  • It is always finite in nature.

    • In a sequence, what is each individual number called?

  • Factor
  • Element (correct)
  • Exponent
  • Variable

    • Which type of sequence has an ellipsis symbol to indicate that it is unending?

  • Finite Sequence
  • Infinite Sequence (correct)
  • Arithmetic Sequence
  • Geometric Sequence

    • What is the main difference between a series and a sequence?

    <p>A series involves addition, while a sequence is just a listing.</p> Signup and view all the answers

    In a geometric sequence, what is inserted between two given terms?

    <p>Geometric Mean</p> Signup and view all the answers

    What does the common difference refer to in an arithmetic sequence?

    <p>The fixed number added to get the next term</p> Signup and view all the answers

    How would you identify a finite sequence?

    <p>By having a first and last term</p> Signup and view all the answers

    When should you use the square root of the product of two given terms in a geometric sequence?

    <p>To insert a geometric mean between them</p> Signup and view all the answers

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