Let f(x) be a function such that f(x + y) = f(x) · f(y) for all x, y ∈ N. If f(1) = 3 and sum_k=1^n f(k) = 3279, then the value of n is

Let f(x) be a function such that f(x + y) = f(x) · f(y) for… — JEE Main 2023 Mathematics PYQ

JEE Main 2023 · 24 Jan · Shift 2

Let

f(x)

be a function such that

f(x + y) = f(x) \cdot f(y)

for all

x, y \in \mathbb{N}

. If

f(1) = 3

and

\sum_{k=1}^{n} f(k) = 3279

, then the value of

n

Show answer

Correct option: B

[JEE Main 2023 · 24 Jan · Shift 2]

Practise Sequences and Series the way it is asked

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