3/1*4+3/4*7+3/7*10+3/10*13+.+3/n(n+3)=?
1个回答
3/1*4=1-1/4,3/4*7=1/4-1/7.3/n(n+3)=1/n-1/(n+3)
原式=1-1/4+1/4-1/7.+1/n-1/(n+3)=1-1/(n+3)=
(n+2)/(n+3)
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