对于任意的正数a(1),a(2),a(3),a(4),a(5),满足如下条件:
0<a(2)-a(1)<a(3)-a(2)<a(4)-a(3)<a(5)-a(4),那么求证如下不等式成立:
[a(5)+a(1)-2a(3)]/[a(5)-a(1)]
>[a(4)+a(2)-2a(3)]/[a(4)-a(2)]
0<a(2)-a(1)<a(3)-a(2)<a(4)-a(3)<a(5)-a(4),那么求证如下不等式成立:
[a(5)+a(1)-2a(3)]/[a(5)-a(1)]
>[a(4)+a(2)-2a(3)]/[a(4)-a(2)]