1/2+1/6+1/12+1/20+1/30+1/42+.+1/2010*2011+1/2011*2012等于多少?
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![1/2+1/6+1/12+1/20+1/30+1/42+.+1/2010*2011+1/2011*2012等于多少?](/uploads/image/z/1051201-1-1.jpg?t=1%2F2%2B1%2F6%2B1%2F12%2B1%2F20%2B1%2F30%2B1%2F42%2B.%2B1%2F2010%2A2011%2B1%2F2011%2A2012%E7%AD%89%E4%BA%8E%E5%A4%9A%E5%B0%91%3F)
1/2+1/6+1/12+1/20+1/30+1/42+.+1/2010*2011+1/2011*2012等于多少?
1/2+1/6+1/12+1/20+1/30+1/42+.+1/2010*2011+1/2011*2012等于多少?
1/2+1/6+1/12+1/20+1/30+1/42+.+1/2010*2011+1/2011*2012等于多少?
1×1/2+1/2×1/3+1/3×1/4+1/4×1/5+.1/2010×1/2011+1/2011×1/2012
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+.+1/2010-1/2011+1/2011-1/2012
=1-1/2012
=2011/2012