1/1*5+1/5*9+1/9*13+.+1/55*59

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1/1*5+1/5*9+1/9*13+.+1/55*591/1*5+1/5*9+1/9*13+.+1/55*591/1*5+1/5*9+1/9*13+.+1/55*591/1*5+1/5*9+1/9*

1/1*5+1/5*9+1/9*13+.+1/55*59
1/1*5+1/5*9+1/9*13+.+1/55*59

1/1*5+1/5*9+1/9*13+.+1/55*59
1/1*5+1/5*9+1/9*13+.+1/55*59
=(1-1/5+1/5-1/9+……+1/55-1/59)/4
=(1-1/59)/4
=29/119


1/1*5+1/5*9+1/9*13+。。。。。。+1/55*59
=1/4*(1-1/5)+1/4*(1/5-1/9)+1/4*(1/9-1/13)+……+1/4*(1/55-1/59)
=1/4*(1-1/5+1/5-1/9+1/9-1/13+……+1/55-1/59)
=1/4*(1-1/59)
=29/118