(See Solution) Determine whether the following series converges absolutely, converges conditionally, or diverges: ∑limits_n=1^∞ (-1)^nn/2^n
Question: Determine whether the following series converges absolutely, converges conditionally, or diverges:
\[\sum\limits_{n=1}^{\infty }{{{\left( -1 \right)}^{n}}\frac{n}{{{2}^{n}}}}\]Explain the test you use and your reasoning in reaching the conclusion.
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