Sequence and Series Mathematics Quiz
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Questions and Answers

Does the series $\sum_{n=1}^\infty \frac{1}{n(n+1)}$ converge?

  • No, it diverges
  • Yes, it converges (correct)
  • Yes, if $n$ tends to infinity
  • It is inconclusive
  • What is the convergence test for the series $\sum_{n=1}^\infty \frac{4n+1}{5n}$?

  • Ratio Test (correct)
  • Root Test
  • Comparison Test
  • Integral Test
  • What is the sum of the series $1 + \frac{2}{3} + \frac{4}{9} + \frac{8}{27} + \ldots$?

  • 2
  • 3
  • 5
  • 4 (correct)
  • What is the convergence of the sequence $\frac{n}{n+1}$ using the Sandwich Theorem?

    <p>It converges to 1</p> Signup and view all the answers

    What is the convergence of the series $\sum_{n=1}^\infty \frac{1}{n^2-1}$ using the Comparison Test?

    <p>It converges</p> Signup and view all the answers

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