1/1×3+1/3×5+1/5×7+1/7×9+…+1/(2n-1)(2n+1)的值(n为正整数)
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1/1×3+1/3×5+1/5×7+1/7×9+…+1/(2n-1)(2n+1)的值(n为正整数)
![1/1×3+1/3×5+1/5×7+1/7×9+…+1/(2n-1)(2n+1)的值(n为正整数)](/uploads/image/z/3946765-13-5.jpg?t=1%2F1%C3%973%2B1%2F3%C3%975%2B1%2F5%C3%977%2B1%2F7%C3%979%2B%E2%80%A6%2B1%2F%282n-1%29%282n%2B1%29%E7%9A%84%E5%80%BC%28n%E4%B8%BA%E6%AD%A3%E6%95%B4%E6%95%B0%EF%BC%89)
1/1×3+1/3×5+1/5×7+1/7×9+…+1/(2n-1)(2n+1)
=(1/2)×[1/1-1/3+1/3-1/5+……+1/(2n-1)-1/(2n+1)]
=(1/2)×[1-1/(2n+1)]
=n/(2n+1)
=(1/2)×[1/1-1/3+1/3-1/5+……+1/(2n-1)-1/(2n+1)]
=(1/2)×[1-1/(2n+1)]
=n/(2n+1)
1\n(n+3)+1\(n+3)(n+6)+1\(n+6)(n+9)=1\2 n+18 n为正整数,求n的值
n为正整数,3+5+7+9+.(2n+1)=168,则n=
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1/1×3+1/3×5+1/5×7+1/7×9+…+1/(2n-1)(2n+1)的值(n为正整数)
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