问题
选择题
已知数列{an}满足an+1=
|
答案
由a1=2和an+1=
得,a2=an-1 an+1
=a1-1 a1+1
,1 3
a3=
=a2-1 a2+1
=-
-11 3
+11 3
,1 2
a4=
=a3-1 a3+1
=-3,-
-11 2 -
+11 2
a5=
=a4-1 a4+1
=2,…,-3-1 -3+1
a2011=a502×4+3=a3=-
,1 2
故选C.