SOLUTION: test for convergence of a series 1/1 + 4/4 + 9/27 + 16/256 +………………………

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Question 367044: test for convergence of a series
1/1 + 4/4 + 9/27 + 16/256 +………………………
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The general term of the series is 1%2Fn%5E%28n-1%29. For n-1%3E2, n%5E%28n-1%29%3En%5E2, and so 1%2Fn%5E%28n-1%29%3C1%2Fn%5E2. By comparison with the p-series with p = 2, the series is convergent.