计算1/110+1/132+1/156+1/182+1/210+1/240
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![计算1/110+1/132+1/156+1/182+1/210+1/240](/uploads/image/z/1238710-22-0.jpg?t=%E8%AE%A1%E7%AE%971%2F110%2B1%2F132%2B1%2F156%2B1%2F182%2B1%2F210%2B1%2F240)
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计算1/110+1/132+1/156+1/182+1/210+1/240
计算1/110+1/132+1/156+1/182+1/210+1/240
计算1/110+1/132+1/156+1/182+1/210+1/240
110=11*10
132=12*11
156=13*12
...
原式=1/10-1/11+1/11-1/12+1/12-1/13...1/15-1/16
=1/10-1/16
=3/80
原式=1\10*11+1\11*12+1\12*13+1\13*14+1\14*15+1\15*16
=1\10-1\16
=3\80
1/110+1/132+1/156+1/182+1/210+1/240
=1/10*11+1/11*12+1/12*13+1/13*14+1/14*15+1/15*16
=1/10-1/11+1/11-1/12+1/12-1/13+1*13-1/14+1/14-1/15+1/15-1/16
=1/10-1/16
=3/80