"L'alphabet du millénaire"

Algebra Level 2

A=2000B=A999C=A+B998D=A+B+C997Z=A+B+C+...+Y975 \begin{aligned} A&=&2000\\ \\ B&=&A-999\\ \\ C&=&A+B-998\\ \\ D&=&A+B+C-997\\ & \vdots & \\ Z&=&A+B+C+...+Y-975 \end{aligned}

How much is Z+1225? \frac { Z+1 }{ { 2 }^{ 25 } } ?

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