计算1/(1*4)+1/(4*7)+1/(7*10)+------+1/(97*100)································································································

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计算1/(1*4)+1/(4*7)+1/(7*10)+------+1/(97*100)························································

计算1/(1*4)+1/(4*7)+1/(7*10)+------+1/(97*100)································································································
计算1/(1*4)+1/(4*7)+1/(7*10)+------+1/(97*100)
··································································································要有解释!

计算1/(1*4)+1/(4*7)+1/(7*10)+------+1/(97*100)································································································
1/(1*4)+1/(4*7)+1/(7*10)+------+1/(97*100)
=1/3*(1-1/4+1/4-1/7+-----------+1/97-1/100)
=(1/3)*(99/100)
=0.33