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Statement 1: Sum of the series 1^3-2^3+3...

Statement 1: Sum of the series `1^3-2^3+3^3-4^3++11^3=378.` - Statement 2: For any odd integer `ngeq1,n^3-(n-1)^3++(-1)^(n-1)1^3=1/4(2n-1)(n+1)^2dot`

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