# 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 $$A+B+C+D+2$$.

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