Suppose that a function f: R → R satisfies f(x + y) = f(x)f(y) for all x, y R and f(1) = 3. If Σ i = 1 ⁿ f(i) = 363 then n is equal to _ _ _ _.

Sets, Relations and Functions: JEE Main 2020 Mathematics question

JEE Main 2020 · 6 Sep, Evening shift · Q29

JEE Main 20206 Sep, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002

Suppose that a function f : R

\to

R satisfies f(x + y) = f(x)f(y) for all x, y

\in

R and f(1) = 3. If

\sum\limits_{i = 1}^n {f(i)} = 363

then n is equal to ________ .

Your answerType your answer. Integers and decimals are accepted.