MathematicsHard110×since 2002Q3869Let f : N →\to→ R be a function such that f(x+y)=2f(x)f(y)f(x + y) = 2f(x)f(y)f(x+y)=2f(x)f(y) for natural numbers x and y. If f(1) = 2, then the value of α\alphaα for which ∑k=110f(α+k)=5123(220−1)\sum\limits_{k = 1}^{10} {f(\alpha + k) = {{512} \over 3}({2^{20}} - 1)}k=1∑10f(α+k)=3512(220−1) holds, is :A2B3C4D6Check answerSkip