6.试用特征根方程法,求满足下列递推式的数列a(n).(1) a(n+2)=a(n+1)+2a(n) ,a(0)=1,a(1)=0; (2) a(n+2)=3a(n+1)-2a(n),a(0)=0,a(1)=1 (3) a(n+3)-2a(n+2)-a(n+1)+2a(n)=0,a(0)=0,a(1)=0,a(2)=6 (1) a(n)=[(2^n)+2*(-1)^n]/3 (2) a(n)=(2^n)-1 (3) a(
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