Suppose that a function satisfies for all and

MATHEMATICS · Single correct

Problem

Suppose that a function

f:\mathbb{R}\rightarrow\mathbb{R}

satisfies

f(x+y)=f(x)f(y)

for all

x,y\in\mathbb{R}

and

f(1)=3

. If

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

, then

n

is equal to (a)

5

(b)

6

(c)

3

(d)

1