求和:1+3/4+4/8+……+n/2^n-1+n+1/2^n原题为求和:1+3/2^2+4/2^3+……+n/2^n-1+n+1/2^n

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求和:1+3/4+4/8+……+n/2^n-1+n+1/2^n原题为求和:1+3/2^2+4/2^3+……+n/2^n-1+n+1/2^n
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求和:1+3/4+4/8+……+n/2^n-1+n+1/2^n原题为求和:1+3/2^2+4/2^3+……+n/2^n-1+n+1/2^n
求和:1+3/4+4/8+……+n/2^n-1+n+1/2^n
原题为求和:1+3/2^2+4/2^3+……+n/2^n-1+n+1/2^n

求和:1+3/4+4/8+……+n/2^n-1+n+1/2^n原题为求和:1+3/2^2+4/2^3+……+n/2^n-1+n+1/2^n
取S=1+3/2^2+4/2^3+…+n/2^n-1+n+1/2^n
故S/2=1/2+3/2^3+4/2^4+…+(n-1)/2^n-1+n/2^n+n/2+1/2^n+1
上式减下式得一个简单的式子,按倍增公式即可得出