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  【1/2+1/4+1/8+1/16+1/32+1/647/6+37/12+101/20+211/30+379/421/3+1/6+1/10+1/15+1/21+1/28+1/36+1/451/2+1+3/2+2+5/2+...+301+11/2+55/6+157/12+341/20+631/30+1051/423/2-5/6+7/12-9/20+11/30-13/42】

  1/2+1/4+1/8+1/16+1/32+1/64

  7/6+37/12+101/20+211/30+379/42

  1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45

  1/2+1+3/2+2+5/2+...+30

  1+11/2+55/6+157/12+341/20+631/30+1051/42

  3/2-5/6+7/12-9/20+11/30-13/42

1回答
2020-09-2615:59
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  1/2+1/4+1/8+1/16+1/32+1/64

  没简单是算法通分,=63/64

  7/6+37/12+101/20+211/30+379/42

  =1+1/6+3+1/12+5+1/20+7+1/30+9+1/42

  =1+3+5+7+9+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+.+(1/6-1/7)

  =25+1/2-1/7

  =25+5/14

  1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45

  =1/2+.

  =3/5+...

  =2/3+...

  =15/21+.

  =21/28+.

  =28/36+.

  =21/45=7/15

  1/2+1+3/2+2+5/2+...+30

  =(1+2+...+60)/2

  =(1+60+2+59+3+58+30).../2

  =(29*61+30)/2

  =899.5

  1+11/2+55/6+157/12+341/20+631/30+1051/42

  =1+5+1/2+9+1/6+13+1/12+17+1/20+31+1/30+25+1/42(同第二题)

  3/2-5/6+7/12-9/20+11/30-13/42

  =3/2-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)

  =1+1/2-1/2-1/3+1/3+1/4-1/4-1/5+1/5+1/6-1/6-1/7

  =1-1/7

  =6/7

  方法应该基本对,计算可能有失误,请自己仔细演算一下

2020-09-26 16:03:30
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