作业帮1/(1*3)+1/(3*5)+1/(5*7)+.1/(2013*2015)
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1/(1*3)+1/(3*5)+1/(5*7)+.1/(2013*2015)
1/(1*3)+1/(3*5)+1/(5*7)+……+1/(2013*2015)
=1/2(1-1/3)+1/2(1/3-1/5)+1/2(1/5-1/7)+……+1/2(1/2013-1/2015)
=1/2(1-1/3+1/3-1/5+1/5-1/7+……+1/2013-1/2015)
=1/2(1-1/2015)
=1/2×2014/2015
=1007/2015
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=1/2(1-1/3)+1/2(1/3-1/5)+1/2(1/5-1/7)+……+1/2(1/2013-1/2015)
=1/2(1-1/3+1/3-1/5+1/5-1/7+……+1/2013-1/2015)
=1/2(1-1/2015)
=1/2×2014/2015
=1007/2015
很高兴为您解答,【学习宝典】团队为您答题.
请点击下面的【选为满意回答】按钮,
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