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Let Sk, be defined as sum(n=1)^oo (1/k)...

Let `S_k`, be defined as `sum_(n=1)^oo (1/k)^n` where k is positive integer greater than one. If the maximum value of expression `(s_k*s_(k+2))/((s_(k+1))^2` can be expressed in the lowest rational as `p/q`. find the value of `(p + q)`.

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