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

Geometric Sequences Quiz
6 Questions
7 Views

Geometric Sequences Quiz

Created by
@PlentifulOceanWave

Podcast Beta

Play an AI-generated podcast conversation about this lesson

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.

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    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.

    More Quizzes Like This

    Use Quizgecko on...
    Browser
    Browser