1-1/2-1/4-1/8-.-1/1024=?我知道这一题每次都分一半,最后等于1/1024,_数学解答

1-1/2-1/4-1/8-.-1/1024=?
我知道这一题每次都分一半,最后等于1/1024,

人气：207 ℃　时间：2020-04-18 12:23:31

解答

1-1/2-1/4-1/8-.-1/1024
=1-(1/2+14+1/8+...+1/1024)
=1-(1/2)[1-(1/2)^10]/[1-(1/2)]
=1-1+(1/2)^10
=(1/2)^10
=1/1024