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1/1*4+1/4*7+1/7*10+...+1/97*100答案=1/3*(1-1/4+1/4-1/7+1/7-1/10+...+1/97-1/100)=33/100答案前面的1/3怎么得来的不明白求详细讲解
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1/1*4+1/4*7+1/7*10+...+1/97*100答案=1/3*(1-1/4+1/4-1/7+1/7-1/10+...+1/97-1/100)=33/100答案前面的1/3怎么得来的不明白求详细讲解
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1/1*4+1/4*7+1/7*10+...+1/97*100
=3*(1/1*4+1/4*7+1/7*10+...+1/97*100)÷3
=(1-1/4+1/4-1/7+1/7-1/10+...+1/97-1/100)÷3
=(1-1/100)÷3
=99/100*3
=33/100
=3*(1/1*4+1/4*7+1/7*10+...+1/97*100)÷3
=(1-1/4+1/4-1/7+1/7-1/10+...+1/97-1/100)÷3
=(1-1/100)÷3
=99/100*3
=33/100
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