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幼苗
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n=2^an
=2^(3n-5)
=2^(3n)*2^(-5)
b(n-1)=2^[3(n-1)]*2^(-5)
=2^(3n)*2^(-3)*2^(-5)
bn/b(n-1)=[2^(3n)*2^(-5)]/[2^(3n)*2^(-3)*2^(-5)]
=2^3
∴bn是以公比q=2^3的等比数列
b1=2^(3*1)*2^(-5)
=2^(-2)
Sn=b1(q^n-1)/(q-1)
=2^(-2)[(2^3)^n-1]/(2^3-1)
=2^(-2)(2^3n-1)/7
=[2^(3n-2)-2^(-2)]/7
1年前
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