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1/1*5+1/3*7+1/5*9+.+1/(2n-1)(2n+3) =【(1-1/5+1/3-1/7+1/5-1/9+.+1/(2n-1)-1/(2n+3) 】÷4 =【1+1/3-1/(2n+1)-1/(2n+3)】÷4 =1/3-(n+1)/[(2n+1)(2n+3)]
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