计算1/1*3+1/3*5+1/5*7+...+1/(2n-3)(2n-1)+1/(2n-1)(2n+1)
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计算1/1*3+1/3*5+1/5*7+...+1/(2n-3)(2n-1)+1/(2n-1)(2n+1)
![计算1/1*3+1/3*5+1/5*7+...+1/(2n-3)(2n-1)+1/(2n-1)(2n+1)](/uploads/image/z/13265173-37-3.jpg?t=%E8%AE%A1%E7%AE%971%2F1%2A3%2B1%2F3%2A5%2B1%2F5%2A7%2B...%2B1%2F%282n-3%29%282n-1%29%2B1%2F%282n-1%29%282n%2B1%29)
=1/2(1-1/3+1/3-1/5+1/5-1/7+……1/(2n-3)-1/(2n-1)+1/(2n-1)-1/(2n+1))
=1/2(1-1/(2n+1))
=1/2-1/(4n+2)
=1/2(1-1/(2n+1))
=1/2-1/(4n+2)
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