UC知道1/1*2+1/2*3+.....1/2002*2003
来源：百度知道 编辑：UC知道 时间：2024/09/27 17:30:06
只要答案和解题思路
1/1*2+1/2*3+.....1/2002*2003
=(1/1-1/2)+(1/2-1/3)+.....+(1/2002-1/2003)
=1-1/2003
=2002/2003
解题思路:
1/1*2=1-1/2
1/2*3=1/2-1/3
...
1/2002*2003=1/2002-1/2003
然后各项相加,中间项都约去.
答案是:2002/2003
原式=1-1/2+1/2-1/3+1/4-1/4+。。。+1/2002-1/2003=1-1/2003=2002/2003
(1/2005-1)(1/2004-1)........(1/3-1)(1/2-1)
1+1/2+1/3+.....+1/n
1+1/2+1/3+...+1/100
1-1/2+1/3-.....-1/10
(1+1/2+1/3+1/4)×
(1-1/2)(1-1/3)(1-1/4)(1-1/5).....(1-1/1000)
1+1/(1+2)+1/(1+2+3)+...+1/(1+2+3+...+100)
1+1/(1+2)+1/(1+2+3)+-------+1/(1+2+3+----+100)
1+1/1+2+1/1+2+3+...+1/1+2+3...+2000
1+1/1+2+1/1+2+3.........+1/1+2+3.....100