Let \( f: R \rightarrow R \) be a function such that \( f(1)=2 \) and it satisfies the relation ....

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Let \( f: R \rightarrow R \) be a function such that \( f(1)=2 \) and it
\( \mathrm{P} \)
satisfies the relation \( f(x+y)=f(x) f(y) \) for all natural
W
numbers \( x \) and \( y \). Then the value of the natural number \( a \) such that \( \sum_{K=1}^{n} f(a+K)=16\left(2^{n}-1\right) \) is
(1) 3
(2) 4
(3) 5
(4) 6
.


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