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Thread: Show that summation >= sqrt(n)

  1. May 4th 2010, 03:42 AM #1
    WartonMorton
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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. May 4th 2010, 03:49 AM #2
    aman_cc
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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. May 4th 2010, 04:14 AM #3
    aman_cc
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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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