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数学
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1/3+13/15+33/35+61/63+97/99的简便方法
人气:217 ℃ 时间:2020-05-20 15:10:06
解答
1/3 +13/15 +33/35 +61/63 +97/99
=(3-2)/3 +(15-2)/15 +(35-2)/35 +(63-2)/63 +(99-2)/99
=5 -(2/3+2/15+2/35+2/63+2/99)
=5-[2/(1×3)+2/(3×5)+2/(5×7)+2/(7×9)+2/(9×11)]
=5-(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11)
=5-(1-1/11)
=5-10/11
=45/11
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计算.-1+3-5+7-9+…-97+99.
1+3+5+7+9+...+97+99=多少
1.13.27.41.57.61.73.84.95.47.11.15.33.49.51.6383.99中的质数
1/1×3+1/3×5+1/5×7+1/7×9……1/97×99
3^99+3^98+3^97+3^+……+3^3+3+1=?
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