It just won't stop...

Algebra Level 2

\(\textbf{What is the last digit of:}\)

\(\huge \color{red}{1!} \color{darkblue}+\color{orange}{2!} \color{darkblue}+\color{green} {3!} \color{darkblue}+ \color{teal}{4!} \color{darkblue}+ \color{purple}{5!} \color{darkblue}{+ ... +} \color{hotpink}{2015!}\)

\(\textbf{NOTES:}\)

\(\text{No need to bash, in fact very simple!}\)
\(\text{Implied from above ... NO CALCULATORS!!!}\)
\(\LaTeX\text { for life!}\)

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