Colored Sum

Algebra Level 3

\[ \large \color{red}{1}\cdot\color{green}{2}\cdot\color{magenta}{3}\cdot\color{orange}{4} + \color{green}{2}\cdot\color{magenta}{3}\cdot\color{orange}{4}\cdot\color{purple}{5} + \ldots + \color{blue}{10}\cdot\color{darkgreen}{11}\cdot\color{darkblue}{12}\cdot\color{brown}{13} \]

Details: Dot represents \(\textit{product}\)

(Bonus: You need to generalise it)
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