已知数列{an}中,a1=3/5,an=2-1/an-1(n>=2),数列{bn}满足bn=1/an-1

1.an-1=1/bn,an=1/bn+1
a(n-1)=1/b(n-1)+1
1/bn+1=2-1/(1/b(n-1)+1)
1/bn=1-b(n-1)/(b(n-1)+1)
1/bn=1/(b(n-1)+1)
bn-b(n-1)=1,b1=1/a1-1=2/3
数列{bn}是首项为2/3公差为1的等差数列
2,bn=n-1/3,an=1/(bn+1)=3/(3n+2),