11/12+23/24+47/48+95/96+191/192+383/384

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/10 12:45:46
11/12+23/24+47/48+95/96+191/192+383/38411/12+23/24+47/48+95/96+191/192+383/38411/12+23/24+47/48+95/9

11/12+23/24+47/48+95/96+191/192+383/384
11/12+23/24+47/48+95/96+191/192+383/384

11/12+23/24+47/48+95/96+191/192+383/384
原式=1-(1/12)+1-(1/24)+1-(1/48)+1-(1/96)+1-(1/192)+1-(1/384)
=6-(1/12)-(1/24)-(1/48)-(1/96)-(1/192)-(1/384)
=6-63/384(等比数列求和公式)
=2241/384