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Past Question
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Past Question
2
~Questions~
19/6/98
Answer to be posted on 25/6/98
Number 1:
There are 2n real numbers A1,A2,....,An,B1,B2....Bn
(n>or= 3)
which statisfy:
1)A1+A2+.........+An= B1+......+Bn
2)0<A1=A2 , A(i+1)=A(i+2)
[i=1,2,......,n-2]
3)0<B1
B2
, Bi +B(i+1)B(i+2) [i=1,2,......,n-2]
Prove that: A(n-1) +An
B(n-1) +Bn
ANSWER of
Number 2 (31/5/98)