1/1X3+1/3X5+…….+1/99X101 - 知识问答

1/1X3+1/3X5+…….+1/99X101

6个回答

1/1X3+1/3X5+…….+1/99X101
=1/2(1-1/3)+1/2(1/3-1/5)+…….+1/2(1/99-1/101)
=1/2(1-1/3+1/3-1/5+……+1/99-1/101)
=1/2(1-1/101)
=1/2*100/101
=50/101

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