A computer programmer claims that he generated six real numbers so that the sum of any four consecutive 's is positive, but the sum of any 3 consecutive 's is negative. Prove that his claim is false.
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I think I got it. a1+a2+a3<0 and a1+a2+a3+a4>0 imply a4>0 Similarly a5>0 and a6>0 a4+a5+a6>0 (Contradiction)
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