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Past Question 1
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<B1B2 , 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) 1