1/10×11+1/11×12+1/12×13+……+1/119×120

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1/10×11+1/11×12+1/12×13+……+1/119×1201/10×11+1/11×12+1/12×13+……+1/119×1201/10×11+1/11×12+1/12×13+……+1

1/10×11+1/11×12+1/12×13+……+1/119×120
1/10×11+1/11×12+1/12×13+……+1/119×120

1/10×11+1/11×12+1/12×13+……+1/119×120
1/10-1/120=11/120