If f : R R satisfies f(x + y) = f(x) + f(y), for all x, y R and f(1) = 7, then _ r=1 ^ n f(r) is

JEE Main 2003 Mathematics question

If satisfies , for all and , then is

Answer: (1)

From Cauchy's equation, for positive integers (e.g. , and by

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Question ID VK-038255