Yummy

Algebra Level 3

\[\dfrac{1}{1 \times 7}+\dfrac{1}{4 \times 10}+\dfrac{1}{7 \times 13}+\dfrac{1}{10 \times 16}+\dfrac{1}{13 \times 19}+\dfrac{1}{16 \times 22}+\cdots =\dfrac{A}{B}\]

Find \(A+B\) where \(A\) and \(B\) are coprime positive integers.

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