递等式计算:1/42+1/56+1/72+1/90+1/110

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递等式计算:1/42+1/56+1/72+1/90+1/110

递等式计算:1/42+1/56+1/72+1/90+1/110
递等式计算:1/42+1/56+1/72+1/90+1/110

递等式计算:1/42+1/56+1/72+1/90+1/110
原式=1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10+1/10-1/11
=1/6-1/11
=5/66