问题标题:
一道数学题.2004年“我爱数学”少年夏令营的题.1/3+1/5+1/7+1/9+1/11+1/33+1/35+1/45+1/55+1/77
问题描述:
一道数学题.2004年“我爱数学”少年夏令营的题.
1/3+1/5+1/7+1/9+1/11+1/33+1/35+1/45+1/55+1/77
金晓晨回答:
1/3+1/5+1/7+1/9+1/11+1/33+1/35+1/45+1/55+1/77=1/3+1/5+1/7+1/9+1/11+1/(3*11)+1/(5*7)+1/(5*9)+1/(5*11)+1/(7*11)=1/3+1/5+1/7+1/9+1/11+(8/3-8/11)+(2/5-2/7)+(4/5-4/9)+(6/5-6/11)+(4/7-4/11)=(1/3+8/3)+(1/...
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