计算:1除以括号1/2+1/6+1/12+1/20+...1/72等于几

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/07 05:12:38
计算:1除以括号1/2+1/6+1/12+1/20+...1/72等于几
x){nuer'>^FzzzFv>}MR> l(2.PLA[HY`1ed @RV*cNK4m--l @StS

计算:1除以括号1/2+1/6+1/12+1/20+...1/72等于几
计算:1除以括号1/2+1/6+1/12+1/20+...1/72等于几

计算:1除以括号1/2+1/6+1/12+1/20+...1/72等于几
1/2+1/6+1/12+1/20+...1/72
=1-1/2 + 1/2-1/3 + 1/3-1/4 + ...+ 1/8 - 1/9
=1-1/9 = 8/9
∴1/(1/2+1/6+1/12+1/20+...1/72)=9/8