Series Matrix

Algebra Level 3

[2142]\large {\begin{bmatrix} 2 & 1 \\ -4 & -2 \end{bmatrix}}

Denote the matrix above as AA. Find the value of series below?

I+2A+3A2+4A3+ I + 2A + 3A^2 + 4A^3 + \ldots

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