Tübitak Ortaokul 1. Aşama 2017 Soru 32

[matematikolimpiyati]

$(1^2+1)1!+(2^2+1)2!+(3^2+1)3!+ \cdots +(2016^2+1)2016!+(2017^2+1)2017!=?$

$\textbf{a)}\ 2017.2018!  \qquad\textbf{b)}\ 2018.2018!  \qquad\textbf{c)}\ 2017.2018!-2  \qquad\textbf{d)}\ 2017.2018!-1  \qquad\textbf{e)}\ 2017.2017!$