在数列{an}中,a1=3,(n+1)an+1=nan,则a10等于
问题描述:
在数列{an}中,a1=3,(n+1)an+1=nan,则a10等于
选择
A 10/3
B 3/10
C 1/10
D 10
答
(n+1)a(n+1)=nan
a(n+1)/an = n/(n+1)
(a2/a1)*(a3/a2)*.*(a10/a9)= a10/a1
=(1/2)*(2/3)*.*(9/10)= 1/10
a10 = a1*(1/10) =3/10