Geometric Sequences and Common Ratio Quiz
16 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

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 (C)</p> Signup and view all the answers

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

<p>2 (D)</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 (A)</p> Signup and view all the answers

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

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

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

<p>6 (A)</p> Signup and view all the answers

What does geometric decay represent?

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

Which type of sequence involves reducing-balance depreciation?

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

What is the common characteristic of geometric growth and decay?

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

Which of the following represents a geometric sequence?

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

Which of the following sequences is an arithmetic sequence?

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

More 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