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-   -   Sum of the first natural numbers (https://www.askmehelpdesk.com/showthread.php?t=73938)

  • Mar 20, 2007, 02:52 AM
    sim0nz12345
    Sum of the first natural numbers
    Hi there,
    I'm having trouble with this questions...

    Could you please give do a step by step solution to this question:

    The sum of the first "n" natural numbers is 1/2n(n+1)

    How many do you have to add to exceed 1000?

    Thanks
  • Mar 20, 2007, 03:00 AM
    Capuchin
    so, we form an equation



    Now we solve it for n.



    You can solve this quadratic however you wish to. You'll need to round your answer up to get the right answer to the question.
  • Mar 20, 2007, 04:18 AM
    sim0nz12345
    Thank-you so much for your answer
    It really helps
  • Mar 20, 2007, 04:25 AM
    Capuchin
    Sorry, was it or ? - I'm thinking the latter - i didn't check when i wrote the above.

    This is why you must be careful of the notation you used for equations, it can be ambiguous.

    For the latter:



    and solve in the same way, rounding up.
  • Mar 20, 2007, 04:42 AM
    sim0nz12345
    Yea I knew I typed the first one wrong
    Thank you anyway for the help
    Much appreciated

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