1乘2+2乘3+3乘4+.n(n+1)等于几分之几n(n+1)(n+2)

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1乘2+2乘3+3乘4+.n(n+1)等于几分之几n(n+1)(n+2)
1乘2+2乘3+3乘4+.n(n+1)等于几分之几n(n+1)(n+2)

1乘2+2乘3+3乘4+.n(n+1)等于几分之几n(n+1)(n+2)
kn(n+1)(n+2)+(n+1)(n+2)=(kn+1)(n+1)(n+2)=k(n+1)(n+2)(n+3)
kn+3k=kn+1
k=1/3