Weird sum of series

Calculus Level 4

\[\large{\frac{1}{1\times 7}+\frac{1}{2\times 9}+\frac{1}{3\times 11}+\frac{1}{4\times 13}+\ldots }\]

The value of above series is \({\frac{A}{B}-\frac{C}{D}\ln(2)}\) where \(A,B,C,D,\) are positive integers.

Find minimum value of \(A+B+C+D+2\).

Try my set.
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