Sum of Complex Numbers

Algebra Level 3

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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