1/2*1/3+1/3*1/4+1/4*1/5.+1/2008*1/2009怎么解?
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1/2*1/3+1/3*1/4+1/4*1/5.+1/2008*1/2009怎么解?
1/2*1/3+1/3*1/4+1/4*1/5.+1/2008*1/2009怎么解?
1/2*1/3+1/3*1/4+1/4*1/5.+1/2008*1/2009怎么解?
=1/2-1/3+1/3-1/4+……+1/2008-1/2009
=1/2-1/2009
=2007/4018
1/2*1/3=1/2-1/3
1/N*1/(N+1)=1/N-1/(N+1)
本题即为1/2-1/2009=2007/4018
简便算法:1/2*1/3=1/6=1/2-1/3
1/3*1/4=1/12=1/3-1/4
以此类推,则1/2008*1/2009=1/2008-1/2009
所以原式=1/2-1/3+1/3-1/4+1/4-1/5……+1/2008-1/2009
=1/2-1/2009
=2007/4018
(1+1/2+1/3+1/4+1/5)*(1/3+1/4+1)-(1+1/3+1/4)*(1/2+1/3+1/4+1/5)
1+2+3+4+1
(1+1/2+1/3+1/40)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4)(1+1/2+1/3+1/4)*(1/2+1/3+1/4+1/5)-(1+1/2+1/3+1/4+1/5)*(1/2+1/3+1/4),不好意思,是下面这个!
/1/3-1/2/+/1/4-1/3/+/1/5-1/4/+.+/1/10-1/9/
|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+.+|1/2008-1/2007|
|1/3-1/2|+|1/4-1/3|+|1/5-1/4|+...+|1/10-1/9|
1/2 1/3 1/4是勾股数吗
1/3+1/2+1/4
1/2*1/3*1/4
1/2+1/3+1/4=?
1/2-3/1-4/1=
1 2 3 4
1 2 3 4
1 2 3 4
1,2,3,4,
1 2 3 4
1 2 3 4
1,2,3,4,