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1/3-2/15+3/35-4/63+5/99-6/143=?给个通式吧.
题目详情
1/3-2/15+3/35-4/63+5/99-6/143=?
给个通式吧.
给个通式吧.
▼优质解答
答案和解析
1/3-2/15+3/35-4/63+5/99-6/143
=1/3-1/3+1/5+2/35+1/35-2/63-2/63+2/99+2/99+1/99-2/143-2/143-2/143
=1/5+1/5-1/7+1/35-1/7+1/9-1/7+1/9+1/9-1/11+1/9-1/11+1/99-1/11+1/13-1/11+1/13-1/11+1/13
=2/5-3/7+4/9-5/11+3/13++1/35+1/99
=.
后面的你自己去做
=1/3-1/3+1/5+2/35+1/35-2/63-2/63+2/99+2/99+1/99-2/143-2/143-2/143
=1/5+1/5-1/7+1/35-1/7+1/9-1/7+1/9+1/9-1/11+1/9-1/11+1/99-1/11+1/13-1/11+1/13-1/11+1/13
=2/5-3/7+4/9-5/11+3/13++1/35+1/99
=.
后面的你自己去做
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