同上...若1/(2*4) + 1/(4*6) + 1/(6*8) + .+1/2n(2n+2) =1001/4008,求n的值.

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同上...若1/(2*4)+1/(4*6)+1/(6*8)+.+1/2n(2n+2)=1001/4008,求n的值.同上...若1/(2*4)+1/(4*6)+1/(6*8)+.+1/2n(2n+2)

同上...若1/(2*4) + 1/(4*6) + 1/(6*8) + .+1/2n(2n+2) =1001/4008,求n的值.
同上...
若1/(2*4) + 1/(4*6) + 1/(6*8) + .+1/2n(2n+2) =1001/4008,求n的值.

同上...若1/(2*4) + 1/(4*6) + 1/(6*8) + .+1/2n(2n+2) =1001/4008,求n的值.
(1/2)[(1/2)-(1/4)+(1/4)-(1/6)+(1/6)-(1/8)+.+(1/2n)-1/(2n+2)]=1001/4008
(1/2)[(1/2)-1/(2n+2)]=1001/4008
(1/2)-1/(2n+2)=1001/2004
2n+2=2004
n=1001
1/n(n+k)=(1/k)[(1/n)-1/(n-k)]