(1)an=(9n²-9n+2)/(9n²-1)=[(3n-2)(3n-1)]/[(3n+1)(3n-1)]=(3n-2)/(3n+1)
a10=(30-2)/(30+1)=28/31
(2) (3n-2)/(3n+1)=99/100
解得n=299/3.不是整数.所以99/100不是该数列的项
(3) an=(3n-2)/(3n+1)=1-3/(3n+1)
∵n是正整数.∴n≥1 ∴0 < 3/(3n+1)<1
∴
(1)an=(9n²-9n+2)/(9n²-1)=[(3n-2)(3n-1)]/[(3n+1)(3n-1)]=(3n-2)/(3n+1)
a10=(30-2)/(30+1)=28/31
(2) (3n-2)/(3n+1)=99/100
解得n=299/3.不是整数.所以99/100不是该数列的项
(3) an=(3n-2)/(3n+1)=1-3/(3n+1)
∵n是正整数.∴n≥1 ∴0 < 3/(3n+1)<1
∴