🎧 New: AI-Generated Podcasts Turn your study notes into engaging audio conversations. Learn more

Geometric Sequences and Common Ratio Quiz
16 Questions
0 Views

Geometric Sequences and Common Ratio Quiz

Created by
@BullishMinneapolis

Podcast Beta

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the common ratio (R) of the geometric sequence 3, 12, 48, 192, ...?

  • 6
  • 12
  • 3
  • 4 (correct)
  • Which of the following sequences is a geometric sequence?

  • 3, 6, 18, 36, ... (correct)
  • 1, 3, 5, 7, ...
  • 5, 10, 15, 20, ...
  • 2, 10, 50, 250, ...
  • What is the next term in the geometric sequence 2, 6, 18, ...?

  • 24
  • 54 (correct)
  • 36
  • 72
  • What is the term number (n) and term value (t_n) for the fourth term in the geometric sequence 2, 6, 18, ...?

    <p>n = 4, t_n = 54</p> Signup and view all the answers

    What is the common ratio (R) of the geometric sequence 16, 8, 4, 2, ...?

    <p>2</p> Signup and view all the answers

    Which of the following best describes the graph of a geometric sequence with a common ratio R > 1?

    <p>A curve that is concave up</p> Signup and view all the answers

    Which type of growth is represented by a geometric sequence when R > 1?

    <p>Compound interest investments</p> Signup and view all the answers

    If t0 = 3, what is the value of t1 using the given recurrence relation?

    <p>6</p> Signup and view all the answers

    What does geometric decay represent?

    <p>Decreasing values by the same percentage</p> Signup and view all the answers

    Which type of sequence involves reducing-balance depreciation?

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

    What is the common characteristic of geometric growth and decay?

    <p>Decreasing values at a constant rate</p> Signup and view all the answers

    What is the recursive definition for the geometric sequence 2, 6, 18, ...

    <p>t_n+1 = 3t_n</p> Signup and view all the answers

    Given the recursive definition t_0 = 5 and t_n+1 = 2t_n, what is the value of t_3?

    <p>40</p> Signup and view all the answers

    Which of the following represents a geometric sequence?

    <p>1, 2, 4, 8, 16</p> Signup and view all the answers

    If the first term of a geometric sequence is 3 and the common ratio is 2, what is the fourth term?

    <p>24</p> Signup and view all the answers

    Which of the following sequences is an arithmetic sequence?

    <p>1, 3, 6, 10, 15</p> Signup and view all the answers

    More Quizzes Like This

    Geometric Sequence Quiz
    3 questions
    Geometric Sequences Quiz Flashcards
    14 questions

    Geometric Sequences Quiz Flashcards

    SustainableAntigorite1088 avatar
    SustainableAntigorite1088
    Geometric Sequences Overview
    12 questions
    Use Quizgecko on...
    Browser
    Browser