Consider the equality \(\displaystyle{\sum_{i=0}^n} i^3 = X\) and the…

Consider the equality $\displaystyle{\sum_{i=0}^n} i^3 = X$ and the following choices for $X$

 I.    $\Theta(n^4)$

II.    $\Theta(n^5)$

III.    $O(n^5)$

IV.    $\Omega(n^3)$

The equality above remains correct if $X$ is replaced by