a_{n+1}=a_{n}*(a_{n}+1),
1/a_{n+1}=1/(a_{n}*(a_{n}+1))=1/a_{n}-1/(a_{n}+1),
1/(a_{n}+1)=1/a_{n}-1/a_{n+1},
于是所求值为1/a_{1}-1/a_{2027},又a_{2027}>a_{6}>1,于是所求值∈(3,4),选C。
1/a_{n+1}=1/(a_{n}*(a_{n}+1))=1/a_{n}-1/(a_{n}+1),
1/(a_{n}+1)=1/a_{n}-1/a_{n+1},
于是所求值为1/a_{1}-1/a_{2027},又a_{2027}>a_{6}>1,于是所求值∈(3,4),选C。










