已知数列an满足a1=2,3an+1=an+2 1求an的通项公式 2设bn=log1/3底(an-1)求数列bn前n项和sn
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已知数列an满足a1=2,3an+1=an+21求an的通项公式2设bn=log1/3底(an-1)求数列bn前n项和sn已知数列an满足a1=2,3an+1=an+21求an的通项公式2设bn=lo
已知数列an满足a1=2,3an+1=an+2 1求an的通项公式 2设bn=log1/3底(an-1)求数列bn前n项和sn
已知数列an满足a1=2,3an+1=an+2 1求an的通项公式 2设bn=log1/3底(an-1)求数列bn前n项和sn
已知数列an满足a1=2,3an+1=an+2 1求an的通项公式 2设bn=log1/3底(an-1)求数列bn前n项和sn
3a(n+1)=an+2
3a(n+1)=an-1+3
3a(n+1)-3=an-1
3[a(n+1)-1]=an-1
∴[a(n+1)-1]/(an-1)=1/3
∴an-1是等比数列
a1-1=2-1=1
∴an-1=1*(1/3)^(n-1)
an=1+(1/3)^(n-1)
(2)
bn=log1/3底(an-1)
=log1/3底[(1/3)^(n-1)]
=n-1
∴bn是等差数列
b1=1-1=0
sn
=(1+n-1)*n/2
=n/2
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