化简:1/(n+1)(n+2)+1/(n+2)(n+3)+1/(n+3)(n+4)

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化简:1/(n+1)(n+2)+1/(n+2)(n+3)+1/(n+3)(n+4)

化简:1/(n+1)(n+2)+1/(n+2)(n+3)+1/(n+3)(n+4)
化简:1/(n+1)(n+2)+1/(n+2)(n+3)+1/(n+3)(n+4)

化简:1/(n+1)(n+2)+1/(n+2)(n+3)+1/(n+3)(n+4)
1/(n+1)(n+2)+1/(n+2)(n+3)+1/(n+3)(n+4)
=1/(n+1)-1/(n+2)+1/(n+2)-1/(n+3)+1/(n+3)-1/(n+4)
=1/(n+1)-1/(n+4)
=4/(n+1)(n+4)