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Math Help - Binomial Theorem

  1. #1
    Newbie
    Joined
    Oct 2008
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    7

    Binomial Theorem

    A computer programmer claims that he generated six real numbers a_1, a_2,...,a_6 so that the sum of any four consecutive a_i is positive,
    but the sum of any 3 consecutive a; is negative. Prove that his claim
    is false.

    thanx 4 the help
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  2. #2
    Senior Member
    Joined
    Nov 2007
    Posts
    329
    a_1+a_2+a_3+a_4>0 and a_1+a_2+a_3<0 therefore a_4>0. Following this idea you get a_5>0 and a_6>0. But then how can a_4+a_5+a_6 be negative?!
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