1/1*2+1/2*3+1/3*4+1/4*5+……+1/2013*2014=?
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![1/1*2+1/2*3+1/3*4+1/4*5+……+1/2013*2014=?](/uploads/image/z/3806882-26-2.jpg?t=1%2F1%2A2%2B1%2F2%2A3%2B1%2F3%2A4%2B1%2F4%2A5%2B%E2%80%A6%E2%80%A6%2B1%2F2013%2A2014%EF%BC%9D%3F)
1/1*2+1/2*3+1/3*4+1/4*5+……+1/2013*2014=?
1/1*2+1/2*3+1/3*4+1/4*5+……+1/2013*2014=?
1/1*2+1/2*3+1/3*4+1/4*5+……+1/2013*2014=?
=1-1/2+1/2-1/3+……+1/2013-1/2014=1-1/2014=2013/2014
您好!
1\1*2+1\3*4+1\5*6+•••+1\2013*2014
=1-1\2+1\2-1\3+1\3-1\4+.....+1\2013-1\2014
=1-1\2014
=2013\2014
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2013/2014