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

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 15:34:52

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

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

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

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

跟guodeqi一样啦

x了