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A sequence a1,a2,a3,.an of real numbers ...

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.

A

44228

B

-1/2

C

1

D

can't be determind

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The correct Answer is:
B
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