2a
∵a1=1,an+1= 2an an+2 ∴a2= 2a1 2+a1= 2 3,a3= 2a2 2+a2= 1 2= 2 1+3,a4= 2a3 2+a3= 2 5= 2 1+4,a5= 2a4 2+a4= 1 3= 2 1+5 由以上规律可得,an= 2 n+1
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