an+1-an=an+12+n+1-an2-n=2na+a+1当n≤4时,2na+a+1>0a>- 1 2n+1 ≥-1/9当n≥8时,2na+a+1<0a<- 1 2n+1 ≤- 1 17 ,因此,- 1 9 <a<? 1 17 .答案:- 1 9 <a<? 1 17 .