Statement 1 Sum of the series Statement 2 For any odd integer a ........

Statement 1 : Sum of the series $1^{3}-2^{3}+3^{3}-4^{3}+.....11^{3}=378$

Statement 2: For any odd integer $n\geq 1,$ $n^{3}-(n-1)^{3}+....+(-1)^{n-1}1^{3}=\frac{1}{4}(2n-1)(n+1)^{2}$ a.

Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation for statement1

Statement 1 is true, Statement is true; Statement 2 is NOT a correct explanation for statement 1

Statement 1 is true, Statement 2 is false

Statement 1 is false, statement 2 is true

Statement 1 is false, statement 2 is true

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