(1)由已知得,当n≥2时,
∴ a n =
= 3 n-1 ? 3 n-2 ?…? 3 2 ? 3 1 ?1= 3 (n-1)+(n-2)+…+1 = 3
(2) S n =lo g 3 (
= lo g 3
b 1 =S 1 =-9; 当n≥2时,b n =f(n)-f(n-1)=n-10, 上式中,当n=1时,n-10=-9=b 1 , ∴b n =n-10. (3)数列{b n }为首项为-9,公差为1的等差数列,且当n≤10时,b n ≤0,故n≤10时,T n =|S n |=
当n>10时,T n =|b 1 |+|b 2 |+|b 3 |+…+|b n | =-b 1 -b 2 -…-b 10 +b 11 +…+b n =|b 1 +b 2 +b 3 +b 4 +…+b n |+2|b 1 +b 2 +…+b 10 | =
∴T n =
|