Statement 1 : The sum of the series $ 1 + ( 1 + 2+4) + (4+6+9) + (9+12+16) + .......+ (361 + 380+400)$ is $8000$. <br> Statement 2 : $\displaystyle\sum_{k=1}^{n} (k^3 - ( k-1)^3 ) = n^3$ for any natural number $n$.

Question

( A ) Statement 1 is true, statement 2 is false
( B ) Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1
( C ) Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1
( D ) Statement 1 is false, statement 2 is true