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Math Help - Turning a Sequence into an equation

  1. #1
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    Oct 2009
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    Post Turning a Sequence into an equation

    Hello to everyone, I am new to Math Forum and I hope I have posted this in the correct section.

    I have a number that is generated every day from many constants. The only variable that affects the outcome is the number of times (N) the number has generated an outcome.

    I sincerely apologise if I do not use correct notation but the equation is


    Y = ( K + NA ) where K, A, D, X and C are all constants.
    ( DX +NDC )

    I need to work out an equation that for a given number of outputs (N) I can work out the average of all the outputs.

    So if I had got N=2 the equation would be:

    1 * ( K + NA ) + ( K + (N-1)A ) + ( K + (N-2)A )
    3 ( DX +NDC ) ( DX +(N-1)DC ) ( DX +(N-2)DC )

    The last three sections should be in large brackets. I cannot work this out for 'n' number of times where I do not know what 'n' is.

    I am really sorry if this is not in the right section but I have gone as far as I can with this and I am not sure if I need calculus, integration, differentiation or what so I apologise again if this is not in the correct section.
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  2. #2
    Super Member
    Joined
    Jan 2009
    Posts
    591
    Quote Originally Posted by SteveI View Post
    Hello to everyone, I am new to Math Forum and I hope I have posted this in the correct section.

    I have a number that is generated every day from many constants. The only variable that affects the outcome is the number of times (N) the number has generated an outcome.

    I sincerely apologise if I do not use correct notation but the equation is


    Y = ( K + NA ) where K, A, D, X and C are all constants.
    ( DX +NDC )

    I need to work out an equation that for a given number of outputs (N) I can work out the average of all the outputs.

    So if I had got N=2 the equation would be:

    1 * ( K + NA ) + ( K + (N-1)A ) + ( K + (N-2)A )
    3 ( DX +NDC ) ( DX +(N-1)DC ) ( DX +(N-2)DC )

    The last three sections should be in large brackets. I cannot work this out for 'n' number of times where I do not know what 'n' is.

    I am really sorry if this is not in the right section but I have gone as far as I can with this and I am not sure if I need calculus, integration, differentiation or what so I apologise again if this is not in the correct section.
    Is this the sum?
    <br />
\dfrac{1}{M} \sum_i^M <br />
\dfrac{( K + A(N-i)}{DX + DC(N-i)}<br />

    If that is the case then it can be handled piecewise.
    .
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