计算,1/(1*4)+1/(4*7)+1/(7*10)+1/(10*13).1/(97*100)

问题描述:

计算,1/(1*4)+1/(4*7)+1/(7*10)+1/(10*13).1/(97*100)

1/(1*4)+1/(4*7)+1/(7*10)+1/(10*13).1/(97*100)=(1/3)*(1-1/4)+(1/3)*(1/4-1/7)+(1/3)*(1/7-1/10)+(1/3)*(1/10-1/13).(1/3)*(1/94-1/97)+ (1/3)*(1/97-1/100)=(1/3)*(1-1/4+1/4...