2/1*3+2/3*5+2/5*7+2/11*13+2/13*15

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/05 19:20:16
2/1*3+2/3*5+2/5*7+2/11*13+2/13*15

2/1*3+2/3*5+2/5*7+2/11*13+2/13*15
2/1*3+2/3*5+2/5*7+2/11*13+2/13*15

2/1*3+2/3*5+2/5*7+2/11*13+2/13*15
2/1*3+2/3*5+2/5*7+2/11*13+2/13*15
=1/1-1/3+1/3-1/5+.+1/13-1/15
=1-1/15
=14/15
公式:2/n(n+2)=1/n-1/(n+2)

14/15

2/1*3+2/3*5+2/5*7+2/11*13+2/13*15
=(1-1/3)+(1/3-1/5)+(1/5-1/7)+...+(1/13-1/15)
=1-1/15=14/15