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