问题
填空题
已知数列{an}满足a1=2,an+1=
|
答案
∵数列{an}满足a1=2,an+1=
,n∈N*,∴a2=an-1 an
,a3=-1,a4=2,….1 2
∴a1=a1+3,an=an+3,
而a1+a2+a3=
,3 2
∴S2013=S671×3=671×(a1+a2+a3)=671×
=3 2
.2013 2
故答案为
.2013 2
已知数列{an}满足a1=2,an+1=
|
∵数列{an}满足a1=2,an+1=
,n∈N*,∴a2=an-1 an
,a3=-1,a4=2,….1 2
∴a1=a1+3,an=an+3,
而a1+a2+a3=
,3 2
∴S2013=S671×3=671×(a1+a2+a3)=671×
=3 2
.2013 2
故答案为
.2013 2