1/2+1/4+1/8.+1/1024+1/2048
来源:学生作业帮助网 编辑:作业帮 时间:2024/10/02 09:12:49
x)3767b= ah`bX$/D?HPdC
/.H̳ağXo|V5M~OU@'yce^.E|~
P^CC$D
O;' ?ka~`)(( {GHC]
8CCM} O)
1/2+1/4+1/8.+1/1024+1/2048
1/2+1/4+1/8.+1/1024+1/2048
1/2+1/4+1/8.+1/1024+1/2048
1/2+1/4+1/8.+1/1024+1/2048
=1-1/2048
=2047/2048
2048是2的11次方,只是以1/2为首项,以1/2为等比的前11项等比数列的和,运用等比公式就可以
1/2+1/4+1/8......+1/1024+1/2048
=1/2*(1-(1/2)^11)/(1-1/2)
=1-1/2048
=2047/2048