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Find the natural number a for which sum(...

Find the natural number a for which `sum_(k=1)^(n)f(a+k)=16(2^(n)-1)`, where the function `f` satisfies `f(x+y)=f(x)f(y)` for all natural numbers x, y and further `f(1)=2`.

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MODERN PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE
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