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S1=1-2/3,S2=(1-2/3)(1-2/4),S3==(1-2/3)(1-2/4)(1-2/5),猜想Sn帮忙啦,快一点,谢谢.
题目详情
S1=1-2/3,S2=(1-2/3)(1-2/4),S3==(1-2/3)(1-2/4)(1-2/5),猜想Sn
帮忙啦,快一点,谢谢.
帮忙啦,快一点,谢谢.
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答案和解析
由已知猜想Sn=(1-2/3)*(1-2/4)*...*[1-2/(n+2)],通分化简得Sn=2/[(n+1)*(n+2)]
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