1/1×2+1/2×3+1/3×4+1/4×5+…+1/39×40怎么计算如题

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1/1×2+1/2×3+1/3×4+1/4×5+…+1/39×40怎么计算如题1/1×2+1/2×3+1/3×4+1/4×5+…+1/39×40怎么计算如题1/1×2+1/2×3+1/3×4+1/4×

1/1×2+1/2×3+1/3×4+1/4×5+…+1/39×40怎么计算如题
1/1×2+1/2×3+1/3×4+1/4×5+…+1/39×40怎么计算如题

1/1×2+1/2×3+1/3×4+1/4×5+…+1/39×40怎么计算如题
1/1×2+1/2×3+1/3×4+1/4×5+…+1/39×40 =1-1/2+1/2-1/3+1/3-1/4+.+1/39-1/40 =1-1/40 =39/40