又∵
ana?n?anan?1?anan?, a2a1ana?an?1,n?an, a2a1anan??a1?a2?a2a1?an?1?an,
∴
ana?1,n?a2,anan?1ana?n?anan?1?从而
∴
a1?a2??an?an. ?1?1a1?1?a2??ana5a2, ?a2,5?a3,即a5?a2a4?a3a4a3(Ⅲ)由(Ⅱ)知,当n?5时,有
∵1?a1?a2??a5,∴a3a4?a2a4?a5,∴a3a4?A,
a4?A. a3由A具有性质P可知
2,得a2a4?a3a3a4aaa??A,且1?3?a2,∴4?3?a2,
a2a2a3a3a2∴
a5a4a3a2????a2,即a1,a2,a3,a4,a5是首项为1,公比为a2成等比数列 a4a3a2a1A={1,2,4,8,16}