1/1x4+1/4x7+1/7x10+1/10x13+1/13X16 简便
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1/1x4+1/4x7+1/7x10+1/10x13+1/13X16
=(1/3) × [ (1-1/4) + (1/4-1/7) + (1/7-1/10) + (1/10-1/13) + (1/13-1/16) ]
=(1/3) × [ 1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+1/13-1/16 ]
=(1/3) × [ 1-1/16 ]
=(1/3) × (15/16)
=5/16
=(1/3) × [ (1-1/4) + (1/4-1/7) + (1/7-1/10) + (1/10-1/13) + (1/13-1/16) ]
=(1/3) × [ 1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+1/13-1/16 ]
=(1/3) × [ 1-1/16 ]
=(1/3) × (15/16)
=5/16
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