1/(5*9)+1/(9*13)+1/(13*17)+.1/(101*105) 注:*为乘/为分数线

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1/(5*9)+1/(9*13)+1/(13*17)+.1/(101*105)注:*为乘/为分数线1/(5*9)+1/(9*13)+1/(13*17)+.1/(101*105)注:*为乘/为分数线1/

1/(5*9)+1/(9*13)+1/(13*17)+.1/(101*105) 注:*为乘/为分数线
1/(5*9)+1/(9*13)+1/(13*17)+.1/(101*105) 注:*为乘/为分数线

1/(5*9)+1/(9*13)+1/(13*17)+.1/(101*105) 注:*为乘/为分数线
原式=1/4*(1/5-1/9)+1/4*(1/9-1/13)+.1/4*(1/101-1/105)
=1/4*(1/5-1/9+1/9-1/13+.+1/101-1/105)
=1/4*(1/5-1/105)
=1/21