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Problem
Problem
Suppose that a function
f
:
R
→
R
f: R \rightarrow R
f
:
R
→
R
satisfies
f
(
x
+
y
)
=
f
(
x
)
f
(
y
)
f(x+y) = f(x)f(y)
f
(
x
+
y
)
=
f
(
x
)
f
(
y
)
for all
x
,
y
∈
R
x, y \in R
x
,
y
∈
R
and
f
(
1
)
=
3
f(1) = 3
f
(
1
)
=
3
. If
∑
i
=
1
n
f
(
i
)
=
363
\sum_{i=1}^n f(i) = 363
∑
i
=
1
n
f
(
i
)
=
363
, then
n
n
n
is equal to (a) 5 (b) 6 (c) 3 (d) 1
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