c_n = ((-1)^n)/(2 squareroot n)

Question:

{eq}c_{n} = \frac {\left ( -1 \right )^{n}}{2 \sqrt n} {/eq}

Convergence or Divergence:

When an alternating series converges and the corresponding absolute series ( the series made up of the absolute values of the terms ) diverges, we say the original series is conditionally convergent.

Answer and Explanation:

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{eq}c_n=(-1)^n a_n {/eq}

The series {eq}\sum c_n {/eq}

converges if the {eq}\lim_{n \to \infty} a_n = 0 {/eq}

terms decrease to zero as the...

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P-Series: Definition & Examples

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Chapter 29 / Lesson 5
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This lesson is designed to help you understand a specific type of series called a p-series. You will determine if a series is a p-series, and you will learn to decide if a p-series converges or diverges.


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