2/3+2/3*5+2/5*7+2/7*9+2/9*11+2/11*13简算

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/15 23:21:20
2/3+2/3*5+2/5*7+2/7*9+2/9*11+2/11*13简算2/3+2/3*5+2/5*7+2/7*9+2/9*11+2/11*13简算2/3+2/3*5+2/5*7+2/7*9+2/

2/3+2/3*5+2/5*7+2/7*9+2/9*11+2/11*13简算
2/3+2/3*5+2/5*7+2/7*9+2/9*11+2/11*13简算

2/3+2/3*5+2/5*7+2/7*9+2/9*11+2/11*13简算
=1-1/3 +1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/13
=1-1/13
=12/13
这种方法叫做裂项法

2/3+2/3*5+2/5*7+2/7*9+2/9*11+2/11*13
=2/3+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/13
=2/3+1/3-1/13
=12/13