1/(1*4)+1/(4*7)+1/(7*10)...+1/(91*94) 简算法算

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1/(1*4)+1/(4*7)+1/(7*10)...+1/(91*94) 简算法算
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1/(1*4)+1/(4*7)+1/(7*10)...+1/(91*94) 简算法算
1/(1*4)+1/(4*7)+1/(7*10)...+1/(91*94) 简算法算

1/(1*4)+1/(4*7)+1/(7*10)...+1/(91*94) 简算法算
=1/3×[(1-1/4)+(1/4-1/7)+(1/7-1/10)+……+(1/91-1/94)]
=1/3×[1-1/94]
=1/3×93/94
=31/94