Find the sum to $n$ terms of the series $1^2+(1^2+2^2)+(1^2+2^2+3^2)+........$

Question

$\begin{array}{1 1}\large\frac{n(n+1)(n+2)^2}{12}\\\large\frac{n^2(n+1)(n+2)}{12} \\\large\frac{n(n+1)^2(n+2)}{12} \\ \large\frac{n(n+1)^2(n+2)}{24}\end{array} $