(-1×1/2)+(-1/2×1/3)+(-1/3×1/4)+...+(1/2007×1/2008)+(-1/2008×1/2009) -1×1/2=-1+1/2 -1/2×1/3=-1/2+1/3能探索什么规律?根据规律完成第二题(就是问题要有过程的)
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![(-1×1/2)+(-1/2×1/3)+(-1/3×1/4)+...+(1/2007×1/2008)+(-1/2008×1/2009) -1×1/2=-1+1/2 -1/2×1/3=-1/2+1/3能探索什么规律?根据规律完成第二题(就是问题要有过程的)](/uploads/image/z/13900556-20-6.jpg?t=%28-1%C3%971%2F2%29%2B%28-1%2F2%C3%971%2F3%29%2B%28-1%2F3%C3%971%2F4%29%EF%BC%8B...%2B%EF%BC%881%2F2007%C3%971%2F2008%EF%BC%89%2B%EF%BC%88-1%2F2008%C3%971%2F2009%EF%BC%89+-1%C3%971%2F2%3D-1%2B1%2F2+-1%2F2%C3%971%2F3%3D-1%2F2%2B1%2F3%E8%83%BD%E6%8E%A2%E7%B4%A2%E4%BB%80%E4%B9%88%E8%A7%84%E5%BE%8B%3F%E6%A0%B9%E6%8D%AE%E8%A7%84%E5%BE%8B%E5%AE%8C%E6%88%90%E7%AC%AC%E4%BA%8C%E9%A2%98%EF%BC%88%E5%B0%B1%E6%98%AF%E9%97%AE%E9%A2%98%E8%A6%81%E6%9C%89%E8%BF%87%E7%A8%8B%E7%9A%84%EF%BC%89)
(-1×1/2)+(-1/2×1/3)+(-1/3×1/4)+...+(1/2007×1/2008)+(-1/2008×1/2009) -1×1/2=-1+1/2 -1/2×1/3=-1/2+1/3能探索什么规律?根据规律完成第二题(就是问题要有过程的)
(-1×1/2)+(-1/2×1/3)+(-1/3×1/4)+...+(1/2007×1/2008)+(-1/2008×1/2009)
-1×1/2=-1+1/2 -1/2×1/3=-1/2+1/3
能探索什么规律?
根据规律完成第二题(就是问题要有过程的)
(-1×1/2)+(-1/2×1/3)+(-1/3×1/4)+...+(1/2007×1/2008)+(-1/2008×1/2009) -1×1/2=-1+1/2 -1/2×1/3=-1/2+1/3能探索什么规律?根据规律完成第二题(就是问题要有过程的)
原式=(-1)+(1/2)+(-1/2)+(1/3)+(-1/3)+(1/4)...+(-1/2008)+(1/2009)
这样中间消=(-1)+(1/2009)
==-2008/2009