# Sick-quences!! (6)

Algebra Level 4

$$T_ r$$ is a sequence such that

$\sum_{r =1 } ^ n T_r = \frac{ n(n+1)(n+2)(n+3) } { 8 }.$

$$\displaystyle \sum_{r=1}^{11} \frac{1}{T_r } = \frac{a}{b}$$, where $$a, b$$ are coprime positive integers. Find $$a + b$$.

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