怎么算,1*1/2 + 2*2/3 + 3*3/4```一直加到99*99/100 最后答案等于多少?
怎么算,1*1/2 + 2*2/3 + 3*3/4```一直加到99*99/100 最后答案等于多少?
怎么算的?
怎么算的?
数学人气：670 ℃时间：2020-03-17 11:02:13
优质解答
an=n^2/(n+1)=((n^2-1)+1)/(n+1)=(n-1)+(1/n+1))X=1*1/2 + 2*2/3 + 3*3/4```一直加到99*99/100=(1+2+3+...+98)+((1/2)+(1/3)+(1/4)+...+(1/100))=(1+98)*98/2+((1/2)+(1/3)+(1/4)+...+(1/100))=4851+((1/2)+(1/3)+(1...
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