determine convergence or divergence of the series sum 1 to i

determine convergence or divergence of the series (sum (1 to infinity) (-5)^n/n-1 . converges absolutely, converges conditionally, diverges or no conclusion can be drawn?

Solution

(-5)^n/n-1 alternating series : |Tn+1/Tn| = 5 * (n/n+1) as n -> infinty : 5 hence it diverges always as ratio is not less than 1
determine convergence or divergence of the series (sum (1 to infinity) (-5)^n/n-1 . converges absolutely, converges conditionally, diverges or no conclusion can

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