1/(3+7)+1/(7+11)+1/(11+15)+~~~+1(55+59)=?
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1/(3+7)+1/(7+11)+1/(11+15)+~~~+1(55+59)
=1/4(1/3-1/7+1/7-1/11+1/11+``````+1/55-1/59)
=1/4(1/3-1/59)
=1/4x56/177
=14/177
=1/4(1/3-1/7+1/7-1/11+1/11+``````+1/55-1/59)
=1/4(1/3-1/59)
=1/4x56/177
=14/177
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追问
1/(3+7)+1/(7+11)+1/(11+15)+~~~+1(55+59)=?
追答
1/(3+7)+1/(7+11)+1/(11+15)+~~~+1(55+59)
=1/4(1/3-1/7+1/7-1/11+1/11+``````+1/55-1/59)
=1/4(1/3-1/59)
=1/4x56/177
=14/177
不是一样的么？呵呵，祝你学习进步，望采纳~~
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