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/

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n=1,得a1/1=3^2
a1=9
n≥2时,
a1/1+a2/3+...+an/(2n-1)=3^(n+1) (1)
a1/1+a2/3+...+a(n-1)/(2n-3)=3^n (2)
(1)-(2)
an/(2n-1)=3^(n+1)-3^n=2×3^n
an=2(2n-1)×3^n
n=1时,a1=2×(2×1-1)×3=6≠9
数列{an}的通项公式为
an=9 n=1
2(2n-1)×3^n n≥2