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Math Help - Show that summation >= sqrt(n)

  1. #1
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    Show that summation >= sqrt(n)

    Show that the summation from k=1 to n of 1/sqrt(k) >= sqrt(n)
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  2. #2
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    Quote Originally Posted by WartonMorton View Post
    Show that the summation from k=1 to n of 1/sqrt(k) >= sqrt(n)
    Hint - Use induction. It is not difficult.
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  3. #3
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    Quote Originally Posted by aman_cc View Post
    Hint - Use induction. It is not difficult.
    Otherwise also


     <br />
\sum_1^n 1/\sqrt i \geq \sum_1^n 1/\sqrt n<br />

    and the result follows directly
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