1/1×4+1/4×7+1/7×10+1/10×13+···+1/2008×2011 =

发布时间：2021-03-16 06:50:42

1/1×4+1/4×7+1/7×10+1/10×13+···+1/2008×2011 =

网友回答

1/(1×4)+1/(4×7)+1/(7×10)+1/(10×13)+···+1/(2008×2011)=(1-1/4)/3+(1/4-1/7)/3+...+(1/2008-1/2011)/3=(1-1/4+1/4-1/7+...+1/2008-1/2011)/3=(1-1/2011)/3=670/2011
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