Suppose that function f- satisfies fx-y-fxfy for all x- y- and f1-3-If -i-1nfi-363- then n is equal to

F(x+y)=f(x)f(y) f(x)=a^x ⇒ f(1)=a=3 f(x)=3^x ∑_i=1^nf(i)=363 ⇒ 3+3^2+3^3+....+3^n=363 ⇒3(3^n 1)2=363⇒ n=5 nbsp; ...

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Composite Function

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Suppose that function $f : R \to R$ satisfies $f (x + y) = f (x) f (y)$ for all $x, y \in R$ and $f (1) = 3$ .If $\sum_{i = 1}^{n} f (i) = 363$ , then $n$ is equal to

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