数列{an}中,a2=2,a6=0,且数列{1/an+1}是等差数列,则a4=?

数列{an}中,a2=2,a6=0,且数列{1/an+1}是等差数列,则a4=?
数列{an}中,a2=2,a6=0,且数列{1/an+1}是等差数列,则a4=?

数列{an}中,a2=2,a6=0,且数列{1/an+1}是等差数列,则a4=?
数列{1/an+1}是等差数列
1/(a4+1)-1/(a2+1)=1/(a6+1)-1/(a4+1)
2/(a4+1)=1/(2+1)+1/(0+1)=4/3
a4=1/2.