Let $f(A,B)=\frac{A+Bi}{A-Bi}$, where $A$ and $B$ are non-zero real numbers. If $C$ and $D$ are real numbers such that $f(2,1)+f(4,2)+f(6,3)+f(8,4)+f(10,5)=C+Di,$ what is the value of $C + D?$

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