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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![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(](/uploads/image/z/1159823-47-3.jpg?t=6.%E8%AF%95%E7%94%A8%E7%89%B9%E5%BE%81%E6%A0%B9%E6%96%B9%E7%A8%8B%E6%B3%95%2C%E6%B1%82%E6%BB%A1%E8%B6%B3%E4%B8%8B%E5%88%97%E9%80%92%E6%8E%A8%E5%BC%8F%E7%9A%84%E6%95%B0%E5%88%97a%28n%29.%281%29+a%28n%2B2%29%3Da%28n%2B1%29%2B2a%28n%29+%2Ca%280%29%3D1%2Ca%281%29%3D0%3B+%282%29+a%28n%2B2%29%3D3a%28n%2B1%29-2a%28n%29%2Ca%280%29%3D0%2Ca%281%29%3D1+%283%29+a%28n%2B3%29-2a%28n%2B2%29-a%28n%2B1%29%2B2a%28n%29%3D0%2Ca%280%29%3D0%2Ca%281%29%3D0%2Ca%282%29%3D6+%281%29+a%28n%29%3D%5B%282%5En%29%2B2%2A%28-1%29%5En%5D%2F3+%282%29+a%28n%29%3D%282%5En%29-1+%283%29+a%28)
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