Question:

Let \(t_n=\frac{1}{n}\displaystyle\sum^{n}_{k=1}\left(\frac{k}{n} \right)^2\)for n=1,2,3…. Then t10 is equal to

Updated On: Jun 3, 2024
  • \(\frac{7}{600}\)
  • \(\frac{231}{100}\)
  • \(\frac{209}{600}\)
  • \(\frac{11}{200}\)
  • \(\frac{77}{200}\)
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The Correct Option is B

Solution and Explanation

The correct option is (B) : \(\frac{231}{100}\)
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