Let $f(x)$ be a function such that $f(x+y)=f(x) \times f(y)$ for all $x, y \in N$. If $f(1)=3$ and $\sum _{k=1}^{n}f(k)=3279$, then the value of $n$ is [JEE Main 2023, 24 Jan (Shift 2)]

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Let \(f(x)\) be a function such that \(f(x+y)=f(x) \times f(y)\) for all \(x, y \in N\). If \(f(1)=3\) and \(\sum _{k=1}…

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