1/2+1/4+1/8+…+1/256+1/512+1/1024=?
来源:百度知道 编辑:UC知道 时间:2024/06/03 21:01:52
1/2=1-1/2
1/4=1/2-1/4
1/8=1/4-1/8
......
1/512=1/256-1/512
+1/1024=1/512-1/1024
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1/2+1/4+1/8+…+1/256+1/512+1/1024=1-1/1024= 1023/1024=0.9990234375
1023/1024
等比数列,根据公式
=1023/1024
等比数列求和,有公式的1/2+(1/2)^2+(1/2)^3+......+(1/2)^10=(1/2)(1-(1/2)^10)/(1-(1/2)=1023/1024
(1+1/2+1/3+1/4)×
1+1/2+1+1/3+1+1/4+......+1/100=?
1/1+1/2+1/3+1/4+。。。。+1/N 是多少
1/1+1/2+1/3+1/4+......1/2002=?
1-1/2+1/3-1/4+........1/99-1/100
(1-1/2)(1-1/3)(1-1/4)(1-1/5).....(1-1/1000)
(1/2) (1/4+1/6)=
(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)
(1-1/2^2)*(1-1/3^2)*(1-1/4^2).......(1-1/100^2)
s=1/1+1/1!+1/2!+1/3!+1/4!+....+1/25!