在数列{an}中a1=1,an+1= 2an an+2 n∈N+,a2= 2 1+2 = 2 3 ,a3= 2× 2 3 2 3 + 2 = 1 2 ,a4= 2× 1 2 1 2 +2 = 2 5 ,a5= 2a4 a4+2 = 4 5 2 5 +2 = 1 3 ,a6= 2 3 1 3 +2 = 2 7 ,∴ 2 7 是这个数列的第6项,故答案为6.