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这题怎么做……急急急急急!!
4个回答
展开全部
1/1x4+1/4x7+1/7x10+……+1/97x100
=(1-1/4)/3+(1/4-1/7)/3+(1/7-1/10)/3+.......+(1/97-1/100)/3
=(1/3)(1-1/4+1/4-1/7+1/7-1/10+.......+1/97-1/100)
=(1/3)(1-1/100)
=(1/3)(99/100)
=33/100.
=(1-1/4)/3+(1/4-1/7)/3+(1/7-1/10)/3+.......+(1/97-1/100)/3
=(1/3)(1-1/4+1/4-1/7+1/7-1/10+.......+1/97-1/100)
=(1/3)(1-1/100)
=(1/3)(99/100)
=33/100.
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