Suppose that a function satisfies for all and

MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

Suppose that a function

f:\mathbb{R}\to\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