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Let

$f(s) = \displaystyle \sum_{n=0}^\infty \frac {1}{s^n}$.

If the value of

$\displaystyle \sum_{s=2}^{10} f(s)$

can be represented as $\frac {A}{B}$ where $A$ and $B$ are positive, coprime integers, find the value of $A + B$.

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