定义:a是不为1的有理数,我们把1/1-a称为a的差倒数.如:2的差倒数是1/1-2=-1,-1的差倒数是1/1-(-1)=1/2.已知a1=-1/3,a2是a1的差倒数,a3是a2的差倒数,a4是a3的差倒数……,依次类推,则a2009=().
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![定义:a是不为1的有理数,我们把1/1-a称为a的差倒数.如:2的差倒数是1/1-2=-1,-1的差倒数是1/1-(-1)=1/2.已知a1=-1/3,a2是a1的差倒数,a3是a2的差倒数,a4是a3的差倒数……,依次类推,则a2009=().](/uploads/image/z/5898448-64-8.jpg?t=%E5%AE%9A%E4%B9%89%3Aa%E6%98%AF%E4%B8%8D%E4%B8%BA1%E7%9A%84%E6%9C%89%E7%90%86%E6%95%B0%2C%E6%88%91%E4%BB%AC%E6%8A%8A1%2F1-a%E7%A7%B0%E4%B8%BAa%E7%9A%84%E5%B7%AE%E5%80%92%E6%95%B0.%E5%A6%82%3A2%E7%9A%84%E5%B7%AE%E5%80%92%E6%95%B0%E6%98%AF1%2F1-2%3D-1%2C-1%E7%9A%84%E5%B7%AE%E5%80%92%E6%95%B0%E6%98%AF1%2F1-%28-1%29%3D1%2F2.%E5%B7%B2%E7%9F%A5a1%3D-1%2F3%2Ca2%E6%98%AFa1%E7%9A%84%E5%B7%AE%E5%80%92%E6%95%B0%2Ca3%E6%98%AFa2%E7%9A%84%E5%B7%AE%E5%80%92%E6%95%B0%2Ca4%E6%98%AFa3%E7%9A%84%E5%B7%AE%E5%80%92%E6%95%B0%E2%80%A6%E2%80%A6%2C%E4%BE%9D%E6%AC%A1%E7%B1%BB%E6%8E%A8%2C%E5%88%99a2009%3D%28%29.)
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定义:a是不为1的有理数,我们把1/1-a称为a的差倒数.如:2的差倒数是1/1-2=-1,-1的差倒数是1/1-(-1)=1/2.已知a1=-1/3,a2是a1的差倒数,a3是a2的差倒数,a4是a3的差倒数……,依次类推,则a2009=().
定义:a是不为1的有理数,我们把1/1-a称为a的差倒数.如:2的差倒数是1/1-2=-1,-1的
差倒数是1/1-(-1)=1/2.已知a1=-1/3,a2是a1的差倒数,a3是a2的差倒数,a4是a3的差倒数……,依次类推,则a2009=().
定义:a是不为1的有理数,我们把1/1-a称为a的差倒数.如:2的差倒数是1/1-2=-1,-1的差倒数是1/1-(-1)=1/2.已知a1=-1/3,a2是a1的差倒数,a3是a2的差倒数,a4是a3的差倒数……,依次类推,则a2009=().
a1 = -1/3
a2 = 3/4
a3 = 4
a4 = -1/3
a5 = 3/4
a6 = 4 = a3
...
所以下标是3的倍数的都等于4(a3,a6,a9.)
而2007=669*3所以a2007=4
所以a2009=3/4