SOLUTION: How to determine whether the series converges or diverges? 1/16+1/49+1/100+1/169+...

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Question 361872: How to determine whether the series converges or diverges?
1/16+1/49+1/100+1/169+...
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The given series can be obtained by deleting infinitely many number of terms from the p-series 1%2B1%2F2%5Ep+%2B+1%2F3%5Ep%2B+1%2F4%5Ep++...+1%2Fn%5Ep+..., with p = 2. In such case the p-series is absolutely convergent. Since the given series is just 1%2B1%2F4%5E2+%2B+1%2F7%5E2+%2B+1%2F10%5E2++...+1%2Fn%5E2+..., the series is also absolutely convergent, and consequently convergent.