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Math Help - 2, 5, 8, 11, 14... (continued)

  1. #1
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    2, 5, 8, 11, 14... (q1)

    Which cube members are not in the sequence and prove it?

    2, 5, 8, 11, 14, ...

    How can this be proved
    Last edited by Natasha; February 12th 2006 at 01:54 PM.
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  2. #2
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    Quote Originally Posted by Natasha
    Which cube members are not in the sequence and prove it?

    2, 5, 8, 11, 14, ...

    How can this be proved
    Thus you want to find,
    3k+2=x^3
    I believe you may state that,
    x^3\equiv 1\mod 3
    if and only if, (there is a k such as)
    3k+2=x^3.
    Thus, all the values of x which are
    "cubic residues" which are 1,4,7,10,13,...
    Maybe?
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