设数列an满足a1+3a2+3²a3……+3n-1次方an=n/31.求数列an的通项2.设bn=n/an,求数列bn的前n项和Sn

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设数列an满足a1+3a2+3²a3……+3n-1次方an=n/31.求数列an的通项2.设bn=n/an,求数列bn的前n项和Sn

设数列an满足a1+3a2+3²a3……+3n-1次方an=n/31.求数列an的通项2.设bn=n/an,求数列bn的前n项和Sn
设数列an满足a1+3a2+3²a3……+3n-1次方an=n/3
1.求数列an的通项
2.设bn=n/an,求数列bn的前n项和Sn

设数列an满足a1+3a2+3²a3……+3n-1次方an=n/31.求数列an的通项2.设bn=n/an,求数列bn的前n项和Sn
1.设Qn=n/3
Qn+1=(n+1)/3
Qn+1-Qn=3^n*an+1=1/3
an+1=1/3^(n+1)
an=1/3^n
2.bn=n*3^n

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