Sn=1/(1×2×3)+1/(2×3×4)+1/(3×4×5)+…+1/n×(n+1)×(n+2)=___.

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Sn=1/(1×2×3)+1/(2×3×4)+1/(3×4×5)+…+1/n×(n+1)×(n+2)=___.Sn=1/(1×2×3)+1/(2×3×4)+1/(3×4×5)+…+1/n×(n+1)×

Sn=1/(1×2×3)+1/(2×3×4)+1/(3×4×5)+…+1/n×(n+1)×(n+2)=___.
Sn=1/(1×2×3)+1/(2×3×4)+1/(3×4×5)+…+1/n×(n+1)×(n+2)=___.

Sn=1/(1×2×3)+1/(2×3×4)+1/(3×4×5)+…+1/n×(n+1)×(n+2)=___.
把1/(1×2×3)化成1/2 - 1/3,1/(2×3×4)化成1/6 - 1/12,以此类推.,试一试,你会发现中间这些会被削掉的