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Math Help - Exponent question help please

  1. #1
    Junior Member
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    Exponent question help please

    For what integral values of n is the expression (*-means to the)))

    ( 1*n+ 2*n +3*n +4*n ) divisible by 5

    thanks so much for the help

    i think it must be a multiple by three but i dont know how to prove it
    Last edited by anime_mania; February 10th 2008 at 07:28 PM. Reason: more to add
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  2. #2
    Senior Member topher0805's Avatar
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    I'm not sure I understand your post.

    Is this what you mean?

    For what value of n is this expression divisible by 5?

    1^n + 2^n + 3^n + 4^n

    Note that 1 + 2 + 3 + 4 = 10, which is divisible by 5.

    So, for what value of n are 1^n, 2^n, 3^n, and 4^n equal to 1, 2, 3 and 4, respectively?

    The answer to this is of course 1. If you take anything to the power of 1, it will be equal to itself.

    If you need to find all values of n for which this expression is divisible by 5, note that every odd integer n gives a number that is divisible by 5.
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