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estudier Group Title

f(n) = integer nearest sqrt(n) 1/f(1) + 1/f(2) + ...........+1/f(9999) +1/f(10000) = ?

  • one year ago
  • one year ago

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  1. mahmit2012 Group Title
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    |dw:1350239055071:dw|

    • one year ago
  2. estudier Group Title
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    That looks promising...

    • one year ago
  3. estudier Group Title
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    So when is f(n) = m?

    • one year ago
  4. experimentX Group Title
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    *

    • one year ago
  5. estudier Group Title
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    Get rid of them nasty radicals as well.....

    • one year ago
  6. sara12345 Group Title
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    f(n) would range from 1 to 100

    • one year ago
  7. sara12345 Group Title
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    how to get rid of radical

    • one year ago
  8. estudier Group Title
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    f(n) = a when (a-1/2)^2 < n < (a+1/2)^2 (I'm using a)

    • one year ago
  9. sara12345 Group Title
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    ok

    • one year ago
  10. estudier Group Title
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    Think I will leave this one up overnight in case people want to think more about it....

    • one year ago
  11. mukushla Group Title
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    and im watching :)

    • one year ago
  12. sara12345 Group Title
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    does this involve integrals ?

    • one year ago
  13. estudier Group Title
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    Certainly not! (I'm not that fond of calculus)

    • one year ago
  14. sara12345 Group Title
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    2a is the window for n until a increments

    • one year ago
  15. sara12345 Group Title
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    is this right direction

    • one year ago
  16. estudier Group Title
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    Yes! Now u have the pattern, away u go....:-)

    • one year ago
  17. sara12345 Group Title
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    so f(n) = a a = 1 ; 2.1 times a = 2 ; 2.2 times .... a = 99; 2.99 times a = 100; 2.100/2 times

    • one year ago
  18. estudier Group Title
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    Then the sum is ?

    • one year ago
  19. estudier Group Title
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    The last bit is just some counting (don't overcount)

    • one year ago
  20. sara12345 Group Title
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    lol its easy

    • one year ago
  21. sara12345 Group Title
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    2a.1/a a would cancel out ! 99*2 + 1 = 199

    • one year ago
  22. estudier Group Title
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    Yes, well done...

    • one year ago
  23. sara12345 Group Title
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    nice exercise thnk you :)

    • one year ago
  24. estudier Group Title
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    yw

    • one year ago
  25. estudier Group Title
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    Since it has been solved I will close it after all....

    • one year ago
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