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Questions and Answers
Does the series $\sum_{n=1}^\infty \frac{1}{n(n+1)}$ converge?
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 $\sum_{n=1}^\infty \frac{4n+1}{5n}$?
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 $1 + \frac{2}{3} + \frac{4}{9} + \frac{8}{27} + \ldots$?
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?
What is the convergence of the sequence $\frac{n}{n+1}$ using the Sandwich Theorem?
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What is the convergence of the series $\sum_{n=1}^\infty \frac{1}{n^2-1}$ using the Comparison Test?
What is the convergence of the series $\sum_{n=1}^\infty \frac{1}{n^2-1}$ using the Comparison Test?
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