# Math Help - Six real numbers

1. ## Six real numbers

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

2. ## Re: Six real numbers

I think I got it.

a1+a2+a3<0 and a1+a2+a3+a4>0
imply a4>0
Similarly a5>0 and a6>0