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1/15+1/35+1/63+1/99+1/143+1/195用裂项做
人气:168 ℃ 时间:2020-04-12 16:49:30
解答
裂项法:
1/15+1/35+1/63+1/99+1/143+1/195
=1/2×(1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/13+1/13-1/15)
=1/2×(1/3-1/15)
=1/2×4/15
=2/15
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