Geometric Sequences Quiz
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Questions and Answers

Which term best describes a sequence where each term is obtained by multiplying the previous term by a constant number?

  • Prime sequence
  • Arithmetic sequence
  • Fibonacci sequence
  • Geometric sequence (correct)
  • What is the common ratio of a geometric sequence if the first term is 2 and the second term is 6?

  • 4
  • 1
  • 3 (correct)
  • 2
  • If the first term of a geometric sequence is 3 and the common ratio is 0.5, what is the third term?

  • 1.5 (correct)
  • 1
  • 0
  • 2
  • Which term best describes a sequence where each term is obtained by adding a constant number to the previous term?

    <p>Arithmetic sequence</p> Signup and view all the answers

    What is the formula to find the nth term of an arithmetic sequence?

    <p>$a_n = a_1 + (n-1)d$</p> Signup and view all the answers

    If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 6th term?

    <p>23</p> Signup and view all the answers

    Study Notes

    Geometric Sequence

    • A geometric sequence is a sequence where each term is obtained by multiplying the previous term by a constant number.
    • The common ratio of a geometric sequence can be found by dividing the second term by the first term.
    • For example, if the first term is 2 and the second term is 6, the common ratio is 6/2 = 3.
    • If the first term of a geometric sequence is 3 and the common ratio is 0.5, the third term is 3 × 0.5 × 0.5 = 0.75.

    Arithmetic Sequence

    • An arithmetic sequence is a sequence where each term is obtained by adding a constant number to the previous term.
    • The formula to find the nth term of an arithmetic sequence is an = a1 + (n-1)d, where a1 is the first term and d is the common difference.
    • For example, if the first term of an arithmetic sequence is 3 and the common difference is 4, the 6th term is 3 + (6-1)4 = 3 + 20 = 23.

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    Description

    Test your knowledge of geometric sequences with this quiz! Learn about the defining characteristics of geometric sequences and practice solving for terms and common ratios.

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