1/6+1/12+1/20+1/30+···+1/2005X2006=?分数简便运算
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/05 14:44:37
![1/6+1/12+1/20+1/30+···+1/2005X2006=?分数简便运算](/uploads/image/z/14062932-36-2.jpg?t=1%2F6%2B1%2F12%2B1%2F20%2B1%2F30%2B%C2%B7%C2%B7%C2%B7%2B1%2F2005X2006%3D%3F%E5%88%86%E6%95%B0%E7%AE%80%E4%BE%BF%E8%BF%90%E7%AE%97)
x)37674F@@vF 3[mϦnxɾ/OxnMR>j_`gC'Ukik%4L)624!4
,02L,v
`
f D?@$ف z
1/6+1/12+1/20+1/30+···+1/2005X2006=?分数简便运算
1/6+1/12+1/20+1/30+···+1/2005X2006=?
分数简便运算
1/6+1/12+1/20+1/30+···+1/2005X2006=?分数简便运算
1/6+1/12+1/20+1/30+···+1/2005X2006
=1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+...+1/(2005X2006)
=(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+...+(1/2005-1/2006)
=1/2-1/2006
=501/1003