计算 1/(1X3) + 1/(3X5) + 1/(5X7) + 1/(7X9) + … + 1/(97X99) + 1/(99X101)

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计算1/(1X3)+1/(3X5)+1/(5X7)+1/(7X9)+…+1/(97X99)+1/(99X101)计算1/(1X3)+1/(3X5)+1/(5X7)+1/(7X9)+…+1/(97X99

计算 1/(1X3) + 1/(3X5) + 1/(5X7) + 1/(7X9) + … + 1/(97X99) + 1/(99X101)
计算 1/(1X3) + 1/(3X5) + 1/(5X7) + 1/(7X9) + … + 1/(97X99) + 1/(99X101)

计算 1/(1X3) + 1/(3X5) + 1/(5X7) + 1/(7X9) + … + 1/(97X99) + 1/(99X101)
1/(1X3) + 1/(3X5) + 1/(5X7) + 1/(7X9) + … + 1/(97X99) + 1/(99X101)
=1/2x(1-1/3+1/3-1/5+...+1/99-1/101)
=1/2x(1-1/101)
=1/2x100/101
=50/101