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Geometric Progressions and Common Ratios Quiz
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Geometric Progressions and Common Ratios Quiz

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@LogicalHorse

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Questions and Answers

Which term is used to describe a sequence in which each term after the first is obtained by multiplying the preceding term by a nonzero constant?

  • Fibonacci Sequence
  • Exponential Growth
  • Geometric Progression (correct)
  • Arithmetic Progression

    • What is the common ratio in a geometric progression?

  • The sum of all the terms in the sequence
  • The constant factor or multiplier (correct)
  • The first term in the sequence
  • The difference between consecutive terms in the sequence

    • What is another name for a geometric progression?

  • Arithmetic Sequence (correct)
  • Exponential Growth
  • Fibonacci Sequence
  • None of the above

    • Which term is used to describe a sequence in which each term after the first is obtained by multiplying the preceding term by a nonzero constant?

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

    What is the common ratio in a geometric sequence?

    <p>The constant multiplier between consecutive terms in the sequence</p> Signup and view all the answers

    What is the formula to calculate the sum of a geometric series?

    <p>$S_n = \frac{{a(1 - r^n)}}{{1 - r}}$</p> Signup and view all the answers

    What is another name for a geometric sequence?

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

    What happens if the common ratio in a geometric sequence is 0?

    <p>The sequence becomes undefined</p> Signup and view all the answers

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