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Math Help - i am looking for some kind of infinite Series

  1. #1
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    Question i am looking for some kind of infinite Series

    Hi,

    I do not know whether it is right place to post this thread.

    I am looking for some kind of infinite sequence with following properties.
    "!=" means not equal
    (a+b!=c+d)
    (a+a!=c+d)


    i tried with fibonacci, but it did not worked
    1+3=2+2
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  2. #2
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    Quote Originally Posted by jorrigala View Post
    Hi,

    I do not know whether it is right place to post this thread.

    I am looking for some kind of infinite sequence with following properties.
    "!=" means not equal
    (a+b!=c+d)
    (a+a!=c+d)


    i tried with fibonacci, but it did not worked
    1+3=2+2
    Let us assume that a,b,c,d are supposed to represent any four consecutive terms in your series. Then your last statement about the Fibonacci sequence is irrelevant as it does not represent one of the conditions you have to meet, that is 1 and 3 are not consecutive terms of the series.

    Please post the exact wording of the problem.

    CB
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  3. #3
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    a,b,c,d represent any number in sequence
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  4. #4
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    Quote Originally Posted by jorrigala View Post
    a,b,c,d represent any number in sequence
    Again, please post the exact wording of the problem as given to you.

    CB
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  5. #5
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    Quote Originally Posted by jorrigala View Post
    Hi,

    I do not know whether it is right place to post this thread.

    I am looking for some kind of infinite sequence with following properties.
    "!=" means not equal
    (a+b!=c+d)
    (a+a!=c+d)


    i tried with fibonacci, but it did not worked
    1+3=2+2
    Consider the sequence a_n=10^{10^n}

    CB
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  6. #6
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    From the information you've given, the only thing that can be ascertained is that

    A {\neq} B

    and that, therefore, you might have a series...arithmetic? Geometric? Exponential? Logarithmic? Convergent?

    Indeterminate.
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  7. #7
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    You want a finite sequence a, b, c, d, such that a+ b\ne c+ d and a+ a= 2a\ne c+ d? Almost any random sequence will obey that. Let's say a= 1, b= 2, c= 3, d= 4. That works, doesn't it?
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