Geometric Series Quiz
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Questions and Answers

Which one of the following is the correct equation for a geometric series?

  • $a + a^2 + a^3 + a^4 + ...$
  • $a + a^2 + a^3 + a^4 + ...$
  • $a + a^2 + a^3 + a^4 + ...$
  • $a + ar + ar^2 + ar^3 + ...$ (correct)

Which one of the following is an example of a geometric series?

  • $1 + 2 + 4 + 8 + ...$
  • $1 + 2 + 3 + 4 + ...$
  • $1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + ...$ (correct)
  • $1 + 2 + 3 + 4 + ...$

What is the common ratio in the geometric series $3 + 6 + 12 + 24 + ...$?

  • 2
  • 4
  • 3 (correct)
  • 5

What is the coefficient of each term in the geometric series $-2 + 4 - 8 + 16 - ...$?

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

What is the sum of the infinite geometric series $1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + ...$?

<p>3 (B)</p> Signup and view all the answers

Which one of the following is the correct equation for the sum of an infinite geometric series?

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

What is the common ratio in the geometric series $2 + 4 + 8 + 16 + ...$?

<p>4 (C)</p> Signup and view all the answers

What is the coefficient of each term in the geometric series $-3 + 6 - 12 + 24 - ...$?

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

Which one of the following is an example of a geometric series?

<p>$1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + ...$ (D)</p> Signup and view all the answers

What is the sum of the infinite geometric series $5 + \frac{5}{3} + \frac{5}{9} + \frac{5}{27} + ...$?

<p>$\frac{15}{2}$ (B)</p> Signup and view all the answers

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