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Series Practice MC (AP Topic Questions)

  1. For what values of \(p\) is the series \(\sum_{n=1}^{\infty} \frac{(-1)^nn}{n^p + 2}\) conditionally convergent?

    1. \(0 < p \leq 1\)
    2. \(p > 1\)
    3. \(1 < p \leq 2\) only
    4. \(p > 2\) only

  2. Which of the following statements is true about the series \(\sum_{n=1}^{\infty} \frac{(-1)^n}{\sqrt[3]{n}}\)

  3. Which of the following series is conditionally convergent?