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A sequence a_1,a_2,a_3,.a_n of real numbers is such that a_1=0, |a_2|=|a_1+1|,|a_3|=|a_2+1|,gt,|an|=|a_(n-1)+1|. Prove that the arithmetic mean (a_1+a_2+……..+a_n)/n of these numbers cannot be les then - 1/2. |
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Answer» 44228 |
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