已知数列an满足a1=3,a n+1-3an=3的n次方,
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已知数列an满足a1=3,an+1-3an=3的n次方,已知数列an满足a1=3,an+1-3an=3的n次方,已知数列an满足a1=3,an+1-3an=3的n次方,(1)由an+1-3an=3^n
已知数列an满足a1=3,a n+1-3an=3的n次方,
已知数列an满足a1=3,a n+1-3an=3的n次方,
已知数列an满足a1=3,a n+1-3an=3的n次方,
(1)由an+1-3an=3^n
an+1/3^(n+1)-3an/3^(n+1)=1/3
因为bn=an/3^
所以bn+1-bn=1/3
bn为公差为1/3,首项为1的等差数列
bn=n/3+2/3
(2)由bn=n/3+2/3=an/3^n
an=(n/3+2/3)*3^n
Sn=1/2*n*[3+(n/3+2/3)]*3^n=(n^2+11n)3^(n-1)/2
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