1/2+[2/(2*3)]+[3/(2*3*4)]+[4/(2*3*4*5)]+[5/(2*3*4*5*6)] 这道题怎么简算呢?

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/27 15:59:30
1/2+[2/(2*3)]+[3/(2*3*4)]+[4/(2*3*4*5)]+[5/(2*3*4*5*6)] 这道题怎么简算呢?

1/2+[2/(2*3)]+[3/(2*3*4)]+[4/(2*3*4*5)]+[5/(2*3*4*5*6)] 这道题怎么简算呢?
1/2+[2/(2*3)]+[3/(2*3*4)]+[4/(2*3*4*5)]+[5/(2*3*4*5*6)] 这道题怎么简算呢?

1/2+[2/(2*3)]+[3/(2*3*4)]+[4/(2*3*4*5)]+[5/(2*3*4*5*6)] 这道题怎么简算呢?
=1/2+[2/(2*3)]+[3/(2*3*4)]+[4/(2*3*4*5)]+[5/(2*3*4*5*6)] +[1/(2*3*4*5*6)] -[1/(2*3*4*5*6)]
=1/2+[2/(2*3)]+[3/(2*3*4)]+[4/(2*3*4*5)]+[6/(2*3*4*5*6)] -[1/(2*3*4*5*6)]
=1/2+[2/(2*3)]+[3/(2*3*4)]+[4/(2*3*4*5)]+[1/(2*3*4*5)] -[1/(2*3*4*5*6)]
=1/2+[2/(2*3)]+[3/(2*3*4)]+[5/(2*3*4*5)] -[1/(2*3*4*5*6)]
=1/2+[2/(2*3)]+[3/(2*3*4)]+[1/(2*3*4)]-[1/(2*3*4*5*6)]
=.
=1-[1/(2*3*4*5*6)]