(1)2^(2n)-14*2^n-20=12;(2^n+2)*(2^n-16)=0,2^n=16,n=4
(2)an=am,则4^n-4^m=14(2^n-2^m),2^n+2^m=14,无解
(3)设2^n=t,则an=t^2-14t-20,当t=7时有最小值,但n∈N*,所以2^n=8,即n=3时,有最小值为a3=-68
(1)2^(2n)-14*2^n-20=12;(2^n+2)*(2^n-16)=0,2^n=16,n=4
(2)an=am,则4^n-4^m=14(2^n-2^m),2^n+2^m=14,无解
(3)设2^n=t,则an=t^2-14t-20,当t=7时有最小值,但n∈N*,所以2^n=8,即n=3时,有最小值为a3=-68