已知2/1=1-2/1,6/1=2/1-3/1,12/1=3/1-4/1,·····请计算:1/6+1/12+1/20+1/30+1/42+1/56+1/72的值
来源:学生作业帮助网 编辑:作业帮 时间:2024/09/10 20:13:04
![已知2/1=1-2/1,6/1=2/1-3/1,12/1=3/1-4/1,·····请计算:1/6+1/12+1/20+1/30+1/42+1/56+1/72的值](/uploads/image/z/11434188-12-8.jpg?t=%E5%B7%B2%E7%9F%A52%2F1%3D1-2%2F1%2C6%2F1%3D2%2F1-3%2F1%2C12%2F1%3D3%2F1-4%2F1%2C%C2%B7%C2%B7%C2%B7%C2%B7%C2%B7%E8%AF%B7%E8%AE%A1%E7%AE%97%3A1%2F6%2B1%2F12%2B1%2F20%2B1%2F30%2B1%2F42%2B1%2F56%2B1%2F72%E7%9A%84%E5%80%BC)
x){}K
m
uulC0k/onuӭʹ
0& )H
{lc~
DP-X-PV( R M@j)H.3 m-DXZdᚃXyv n
已知2/1=1-2/1,6/1=2/1-3/1,12/1=3/1-4/1,·····请计算:1/6+1/12+1/20+1/30+1/42+1/56+1/72的值
已知2/1=1-2/1,6/1=2/1-3/1,12/1=3/1-4/1,·····请计算:1/6+1/12+1/20+1/30+1/42+1/56+1/72的值
已知2/1=1-2/1,6/1=2/1-3/1,12/1=3/1-4/1,·····请计算:1/6+1/12+1/20+1/30+1/42+1/56+1/72的值
1/6+1/12+1/20+1/30+1/42+1/56+1/72
=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9
=1/2-1/9
=9/18-2/18
=7/18