1/2+1/4+1/8+1/31+1/62+1/124+1/248+1/496=

发布网友发布时间：2022-04-24 20:28

共4个回答

热心网友时间：2023-10-18 04:10

原式=1/2+1/4+1/8+1/31+1/(31*2)+1/(31*4)+1/(31*8)+1/496
=1/2*(1+1/31)+1/4*(1+1/31)+1/8*(1+1/31)+1/31+1/496
=1/2*(32/31)+1/4*(32/31)+1/8*(32/31)+1/31+1/496
=16/31+8/31+4/31+1/31+1/496
=(16+8+4+1)/31+1/496
=29/31+1/496
=29*16/31*16+1/31*16
=(29*16+1)/496
=(30*16-15)/496
=465/496

热心网友时间：2023-10-18 04:10

15/16
先算1/31+1/62+1/124+1/248+1/496=1/16
再算1/2+1/4+1/8+1/16=15/16
所以 1/2+1/4+1/8+1/31+1/62+1/124+1/248+1/496=15/16

热心网友时间：2023-10-18 04:11

1/2+1/4+1/8+1/31+1/62+1/124+1/248+1/496=15/16

热心网友时间：2023-10-18 04:12

1/2+1/4+1/8+1/31+1/62+1/124+1/248+1/496=1-1/2+1/2-1/4+1/4-1/8+1/31+1/31-1/62+1/62-1/124+1/124-1/248+1/248-1/496=1-1/8+2/31-1/496=7/8+31/496=7/8+1/16=15/16

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