计算 9999×7778+3333×6666 1/20+1/30+1/42+1/56+1/72+1/90

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计算 9999×7778+3333×6666 1/20+1/30+1/42+1/56+1/72+1/90
计算 9999×7778+3333×6666 1/20+1/30+1/42+1/56+1/72+1/90

计算 9999×7778+3333×6666 1/20+1/30+1/42+1/56+1/72+1/90
9999×7778+3333×6666
=9999×7778+9999×2222
=9999×(7778+2222)
=9999×10000
=99990000
1/20+1/30+1/42+1/56+1/72+1/90
=1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10
=1/4-1/10
=3/20

9999*7778+3333*6666=9999*7778+9999*2222=99990000因为1/(n*(n+1))=1/n-1/(n+1)所以1/20=1/(4*5)=1/4-1/5化为1/4-1/5+1/5-1/6...=3/20