1／1*4+1／4*7+1／7*10+…+1／97*100的简便运算_百度作业帮
1／1*4+1／4*7+1／7*10+…+1／97*100的简便运算
1／1*4+1／4*7+1／7*10+…+1／97*100=1/3x（1-1/4）+1/3x（1/4-1/7)+..+1/3x(1/97-1/100）=1/3x(1-1/100)=33/100
对我来说很难
1／1*4+1／4*7+1／7*10+…+1／97*100=(1/3)×(1-1/4)+(1/3)×(1/4-1/7)+..+(1/3)×(1/97-1/100)=(1/3)×(1-1/4+1/4-1/7+……+1/97-1/100)=1/3×(1-1/100)=1/3×99/100=33/100
分数和乘数都是以3为公差的等差数列，你自己将两个等差数列的通项写出来就会发现规律了~~本文欢迎转载，转载请注明：转载自中国学网： []
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可能有帮助1/1×4+1/4×7+1/7×10+…+1/97×100_百度作业帮
1/1×4+1/4×7+1/7×10+…+1/97×100
=(1/1-1/4+1/4-1/7+1/7-1/10+...+1/97-1/100)/3=(1-1/100)/3=0.33
1/1×4+1/4×7+1/7×10+…+1/97×100=(1/3)*(1-1/4+1/4-1/7+...+1/97-1/100)=(1/3)*(1-1/100)=99/300补充：1/1*4=(1/3)*(1-1/4)...
1/1×4=1/3(1/1-1/4)1/4×7=1/3(1/4-1/7).......1/1×4+1/4×7+1/7×10+…+1/97×100=1/3(1/1-1/4+1/4-1/7+.......+1/97-1/100)=1/3*99/100=33/1001/1x4+1/4x7+1/7x10+……+1/97x100SOS!SOS!_百度作业帮
1/1x4+1/4x7+1/7x10+……+1/97x100SOS!SOS!
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)}