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Let f : N \to R be a function such that f(x + y) = 2f(x)f(y) for natural numbers x and y. If f(1) = 2, then the value of α for which∑\limits_k = 1^10 f(α + k) = 512 \over 3(2^20 - 1) holds, is : | Watch the step-by-step video solution for this NIMCET PYQ.