数列{an}满足a1/1+a2/3+a3/5+…+an/(2n-1)=3^(n+1)则数列{an}的通项公式为?

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数列{an}满足a1/1+a2/3+a3/5+…+an/(2n-1)=3^(n+1)则数列{an}的通项公式为?数列{an}满足a1/1+a2/3+a3/5+…+an/(2n-1)=3^(n+1)则数

数列{an}满足a1/1+a2/3+a3/5+…+an/(2n-1)=3^(n+1)则数列{an}的通项公式为?
数列{an}满足a1/1+a2/3+a3/5+…+an/(2n-1)=3^(n+1)则数列{an}的通项公式为?

数列{an}满足a1/1+a2/3+a3/5+…+an/(2n-1)=3^(n+1)则数列{an}的通项公式为?
令Sn=a1/1+a2/3+a3/5+…+an/(2n-1)=3^(n+1),则:
an=Sn-S(n-1)
其中n>1,n∈N+

an/(2n-1)= 3^(n+1) - 3^(n)
=2·3^(n) 其中n>1,n∈N+
an = 2(2n-1)·3^(n)
所以:
1 n=1
an =
2(2n-1)·3^(n) n>1

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