题数列{a,}满足al。。=10098,且(n一1)a*1一(n十1)a二一2(n一l),n~1,2,3,·…求数列硬a,}的通项公式.(04年上海数竞) 解法1裂项迭加法 令n二1,则有al~0.由原式变形,得 n(n一1),口”一以儿一1)=.-一-二一扭,一乙)Ln多乙). 乙 石又去止牢丽飞谁万一蔽万认,‘·)2,·即(青一击)·n Question number {a,} satisfies al. . =10098, and (n-1)a*1 one (n ten 1)a two one two (n-1),n~1,2,3,... Solve the general term formula for the series hard a,} In 2004, several competitions in Shanghai were solved. One or more splitting orders n 1 and 1 had al~0. From the original type of deformation, n(n-1) was obtained, and the mouth was “a child-a 1” =.-a-two. Twist, Yi B) Ln Duo B). B Shi went to stay in prison and Li Fei who knows everything, ’·) 2, that is (Qing Yi hit) · n