1/2Sn=1/2^2 + 1/2^3 + 1/2^n+1 - 1/2^n+2,然后Sn等于多少?

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1/2Sn=1/2^2 + 1/2^3 + 1/2^n+1 - 1/2^n+2,然后Sn等于多少?

1/2Sn=1/2^2 + 1/2^3 + 1/2^n+1 - 1/2^n+2,然后Sn等于多少?
1/2Sn=1/2^2 + 1/2^3 + 1/2^n+1 - 1/2^n+2,然后Sn等于多少?

1/2Sn=1/2^2 + 1/2^3 + 1/2^n+1 - 1/2^n+2,然后Sn等于多少?
左右两边×2
Sn=1/2^1 + 1/2^2 + 1/2^n - 1/2^(n+1)
等比数列求和
=(1/2-1/2^(n+1))/(1-1/2)-1/2^(n+1)
=1-1/2^n-1/2^(n+1)
=1-3/2^(n+1)
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1-3/2^(n+1)

-3(1\2)^n+1+1