Suppose the n-th partial sum of the series S = ak is k=1 Then, the...

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Suppose the n-th partial sum of the series S = ₁ ak is k=1 Then, the following hold (with n ≥ 2): a 1 = Check an S - Check || Sn = n Σ k=1 ak = Determine if the geometric series converges to a limit L in R. 25 125 36 216 5+ + 11n 2 8n + 7 +... Below, please enter the limit as a ratio. If the series does not converge in R, enter inf for infinity; if the series does not converge in R, enter DNE. L = Suppose the n-th partial sum of the series S = ₁ ak is k=1 Then, the following hold (with n ≥ 2): a 1 = Check an S - Check || Sn = n Σ k=1 ak = Determine if the geometric series converges to a limit L in R. 25 125 36 216 5+ + 11n 2 8n + 7 +... Below, please enter the limit as a ratio. If the series does not converge in R, enter inf for infinity; if the series does not converge in R, enter DNE. L =