1.因为{an}是等差数列,所以n/2[a1+an]=Sn=999所以(n/2)[20+54]=999所以n/2=13.5n=27因为an=a1+(27-1)d=an所以54=20+26dd=17/132.因为Sn=na1+[n(n-1)d/2]所以-5=(5/6)n-[n(n-1)/12]0=(-1/12)n�0�5+(11/12)n+5n�0�5-11n-60=0(n+15)(n-4)=0n=-15(舍去)或n=4an=a1+(n-1)d=5/6+3×(-1/6)=1/3